222
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 456
- Proper Divisor Sum (Aliquot Sum)
- 234
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 72
- Möbius Function
- -1
- Radical
- 222
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertzweiundzwanzig· ordinal: zweihundertzweiundzwanzigste
- English
- two hundred twenty-two· ordinal: two hundred twenty-second
- Spanish
- doscientos veintidós· ordinal: 222º
- French
- deux cent vingt-deux· ordinal: deux cent vingt-deuxième
- Italian
- duecentoventidue· ordinal: 222º
- Latin
- ducenti viginti duo· ordinal: 222.
- Portuguese
- duzentos e vinte e dois· ordinal: 222º
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=28A000009
- A nonlinear binomial sum.at n=9A000126
- Number of NPN-equivalence classes of Boolean functions of n or fewer variables.at n=4A000370
- Boustrophedon transform of 1 & primes: 1,2,3,5,7,...at n=5A000732
- a(n) = 2*Catalan(n) - Catalan(n-1).at n=5A000782
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=17A000969
- Numbers that are divisible by at least three different primes.at n=34A000977
- Number of ways of partitioning n points on a circle into subsets only of sizes 2 and 3.at n=10A001005
- Numbers that are the sum of 2 successive primes.at n=28A001043
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=21A001101
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=24A001318
- Winning moves in Fibonacci nim.at n=38A001581
- Nearest integer to 2*n*log(n).at n=32A001618
- The coding-theoretic function A(n,4,3).at n=36A001839
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=35A001840
- a(n) = floor((n+2/3)*(5+sqrt(13))/2); v-pile positions in the 3-Wythoff game.at n=51A001960
- v-pile counts for the 4-Wythoff game with i=2.at n=42A001966
- Numbers congruent to {2, 4, 8, 16} (mod 20).at n=44A002081
- 2nd differences are periodic.at n=11A002082
- Palindromes in base 10.at n=31A002113