Properties of the Number 22181

Twenty-Two Thousand One Hundred Eighty-One

Basics

Value: 22180 → 22181 → 22182

Parity: odd

Prime: No

Previous Prime: 22171

Next Prime: 22189

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 41 × 541

Divisors: 1, 41, 541, 22181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011010100101

Octal: 53245

Duodecimal: 10A05

Hexadecimal: 56a5

Square: 491996761

Square Root: 148.93287078412206

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

a(n) = n*(2·n² -3·n +7)/6 = C(n, 1) + C(n, 2) + 2·C(n, 3). A81489

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

Real part of ∑_k=0..n (k + i^k)², where i=sqrt(-1). A236377

Number of partitions of n not containing the number of distinct parts as a part. A239946

a(n) = [xⁿ] G(x)ⁿ, where G(x) is the o.g.f. of A079489. A333563

Strong pseudoprimes to base 46. A20272

a(n) = (1/n) * ∑_k=1..n k·lcm(k,n). A344509

a(n) = (n - 1) * ∑_k=2..n A000010(k). A385682

a(n) = (2·4ⁿ*binomial(2·n, n) - binomial(4·n + 1, 2·n)) / (n + 1). A79489

Triangle of Gaussian binomial coefficients [ n,k ] for q = 17. A22181