Properties of the Number 22180

Twenty-Two Thousand One Hundred Eighty

Basics

Value: 22179 → 22180 → 22181

Parity: even

Prime: No

Previous Prime: 22171

Next Prime: 22189

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 1109

Divisors: 1, 2, 4, 5, 10, 20, 1109, 2218, 4436, 5545

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011010100100

Octal: 53244

Duodecimal: 10A04

Hexadecimal: 56a4

Square: 491952400

Square Root: 148.92951352905172

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Partial sums of A002522, starting at n=1. A145066

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, with every occupancy equal to zero or two. A221728

Number of partitions of n such that the number of parts having multiplicity >1 is not a part and the number of distinct parts is a part. A241410

a(n) = ∑_k=0..n (k+1) * ∑_j=0..n 2^j*binomial(n,j)*binomial(n-k,j). A35029

Multiplicity of irreducible character IRR2 of Monster simple group in n-th head character. A55771

Inverse permutation of A064364, when seen as flattened list. A257815

Number of permutations of [n] with exactly eight (possibly overlapping) occurrences of the generalized pattern 23-1. A264467

Convolution of A055854 with A011782. A55855

Interprimes which are of the form s·prime, s=20. A75295

Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero. A189500