220
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 504
- Proper Divisor Sum (Aliquot Sum)
- 284
- 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
- 80
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- zweihundertzwanzig· ordinal: zweihundertzwanzigste
- English
- two hundred twenty· ordinal: two hundred twentieth
- Spanish
- doscientos veinte· ordinal: 220º
- French
- deux cent vingt· ordinal: deux cent vingtième
- Italian
- duecentoventi· ordinal: 220º
- Latin
- ducenti viginti· ordinal: 220.
- Portuguese
- duzentos e vinte· ordinal: 220º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=42A000008
- Generalized tangent numbers d(n,1).at n=60A000061
- Numbers k such that k^4 + 1 is prime.at n=32A000068
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=10A000292
- Number of permutations of length n with 3 consecutive ascending pairs.at n=6A000313
- Number of steps to reach 1 in sequence A000546.at n=44A000547
- a(n) = binomial coefficient C(n,9).at n=3A000582
- Number of compositions of n into 4 ordered relatively prime parts.at n=9A000742
- Number of numbers == 0 (mod 3) in range 2^n to 2^(n+1) with odd number of 1's in binary expansion.at n=10A000773
- a(n) = n! * (n + 1 + 2*Sum_{k=1...n} 1/k).at n=4A000775
- Number of switching networks (see Harrison reference for precise definition).at n=1A000833
- Numbers that are divisible by at least three different primes.at n=33A000977
- Number of partitions of n into squares.at n=64A001156
- Triangle read by rows, in which row n consists of n(n+m) for m = 1 .. n-1.at n=53A001283
- Numbers of form m*k with m+1 <= k <= 2m-1.at n=61A001284
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=42A001312
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=12A001484
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=33A001484
- v-pile numbers of the 3-Wythoff game with i=1.at n=51A001958
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=39A001972