216
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 600
- Proper Divisor Sum (Aliquot Sum)
- 384
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 72
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 114
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertsechzehn· ordinal: zweihundertsechzehnste
- English
- two hundred sixteen· ordinal: two hundred sixteenth
- Spanish
- doscientos dieciséis· ordinal: 216º
- French
- deux cent seize· ordinal: deux cent seizième
- Italian
- duecentosedici· ordinal: 216º
- Latin
- ducenti sedecim· ordinal: 216.
- Portuguese
- duzentos e dezesseis· ordinal: 216º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=36A000093
- Generalized class numbers c_(n,1).at n=10A000233
- Card matching: coefficients B[n,1] of t in the reduced hit polynomial A[n,n,n](t).at n=2A000279
- Number of 5-dimensional partitions of n.at n=4A000390
- Euler transform of A000332.at n=4A000391
- Powers of 6: a(n) = 6^n.at n=3A000400
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=15A000423
- a(n) = (n!)^3.at n=3A000442
- Number of steps to reach 1 in sequence A000546.at n=43A000547
- The cubes: a(n) = n^3.at n=6A000578
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=16A000603
- n! never ends in this many 0's.at n=41A000966
- Jordan-Polya numbers: products of factorial numbers A000142.at n=18A001013
- Numbers that are the sum of 2 successive primes.at n=27A001043
- Numbers m such that Sum_{k=0..m-1} exp(2*Pi*i*k^3/m) != 0.at n=56A001074
- Number of fixed polyominoes with n cells.at n=6A001168
- Number of board-pair-pile polyominoes with n cells.at n=5A001170
- a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.at n=5A001210
- a(n) = solution to the postage stamp problem with n denominations and 6 stamps.at n=4A001216
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=0A001239