Properties of the Number 22492

Twenty-Two Thousand Four Hundred Ninety-Two

Basics

Value: 22491 → 22492 → 22493

Parity: even

Prime: No

Previous Prime: 22483

Next Prime: 22501

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5623

Divisors: 1, 2, 4, 5623, 11246, 22492

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111011100

Octal: 53734

Duodecimal: 11024

Hexadecimal: 57dc

Square: 505890064

Square Root: 149.97333096254147

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

A089450 indexed by A000040. A89525

G.f. A(x) satisfies A( x*(1 - x·A(x)) )² = A(x) / (1 - x·A(x)). A383553

Fundamental discriminants of real quadratic number fields with class number 9. A218159

Maximum determinant that can be formed from the optimal set of nonnegative 3 X 3 matrix elements <=n, which maximize the number of different determinants given in A099834. A99815

Number of length-n binary sequences whose subword complexity is <= 2i, for all i. A285894

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5). A35564

∑_n>=0 a(n) * xⁿ / n!² = exp( ∑_n>=1 x^prime(n) / prime(n)!² ). A365107

G.f. B(x) satisfies B(x)² = B(x·B(x)) / (1 - x·B(x)). A383554

G.f. C(x) satisfies C(x) = (1 - x/C(x)) * C(x/C(x))². A383555

An upper bound for linearized chord diagrams. A22492