192
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 508
- Proper Divisor Sum (Aliquot Sum)
- 316
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 64
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 13
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- einshundertzweiundneunzig· ordinal: einshundertzweiundneunzigste
- English
- one hundred ninety-two· ordinal: one hundred ninety-second
- Spanish
- ciento noventa y dos· ordinal: 192º
- French
- cent quatre-vingt-douze· ordinal: cent quatre-vingt-douzième
- Italian
- centonovantadue· ordinal: 192º
- Latin
- centum nonaginta duo· ordinal: 192.
- Portuguese
- cento e noventa e dois· ordinal: 192º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=27A000009
- Generalized tangent numbers d(n,1).at n=59A000061
- Generalized tangent numbers d(n,1).at n=62A000061
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=19A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=22A000114
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=58A000115
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=14A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=28A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=15A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=56A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=23A000118
- a(n) = floor(n^2/3).at n=24A000212
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=14A000423
- Coefficients of ménage hit polynomials.at n=5A000425
- Number of discordant permutations.at n=1A000563
- Expansion of Product_{k>=0} (1 + x^(2k+1)); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes.at n=59A000700
- Number of n-step self-avoiding walks on f.c.c. lattice ending at point with x = 2.at n=1A000767
- n! never ends in this many 0's.at n=37A000966
- Jordan-Polya numbers: products of factorial numbers A000142.at n=17A001013
- Product of totient function: a(n) = Product_{k=1..n} phi(k) (cf. A000010).at n=7A001088