219
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
- 4
- Divisor Sum
- 296
- Proper Divisor Sum (Aliquot Sum)
- 77
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 144
- Möbius Function
- 1
- Radical
- 219
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- zweihundertneunzehn· ordinal: zweihundertneunzehnste
- English
- two hundred nineteen· ordinal: two hundred nineteenth
- Spanish
- doscientos diecinueve· ordinal: 219º
- French
- deux cent dix-neuf· ordinal: deux cent dix-neufième
- Italian
- duecentodiciannove· ordinal: 219º
- Latin
- ducenti undeviginti· ordinal: 219.
- Portuguese
- duzentos e dezenove· ordinal: 219º
Appears in sequences
- Number of trees of diameter 8.at n=4A000306
- A Beatty sequence: [ n(e+1) ].at n=58A000572
- Number of partitions of n into prime parts.at n=37A000607
- Related to population of numbers of form x^2 + y^2.at n=9A000693
- Numbers that are not the sum of 4 tetrahedral numbers.at n=13A000797
- Number of primes < prime(n)^2.at n=11A000879
- Dimension of the n-th graded piece of the mod-2 Steenrod algebra A_2.at n=58A000929
- Lucky numbers.at n=42A000959
- Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs).at n=4A001035
- Numbers that are the sum of 4 cubes in more than 1 way.at n=5A001245
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=50A001484
- a(n) = 3 * prime(n).at n=20A001748
- Sorting numbers: number of comparisons for merge insertion sort of n elements.at n=49A001768
- Number of labeled graded partially ordered sets with n elements.at n=4A001833
- Sorting numbers: maximal number of comparisons for sorting n elements by binary insertion.at n=46A001855
- Beatty sequence of (5+sqrt(13))/2.at n=50A001956
- A Beatty sequence: floor(n * (sqrt(5) + 3)).at n=41A001962
- a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)^(n+1)*n if n is prime, otherwise = 0, where p = largest prime < n.at n=33A002120
- Numbers k for which the rank of the elliptic curve y^2 = x^3 - k is 2.at n=28A002154
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=19A002503