Properties of the Number 22538

Twenty-Two Thousand Five Hundred Thirty-Eight

Basics

Value: 22537 → 22538 → 22539

Parity: even

Prime: No

Previous Prime: 22531

Next Prime: 22541

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 59 × 191

Divisors: 1, 2, 59, 118, 191, 382, 11269, 22538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100000001010

Octal: 54012

Duodecimal: 11062

Hexadecimal: 580a

Square: 507961444

Square Root: 150.1266132302997

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

Maximum water retention of a number square of order n. A261347

a(n) = Min{x : A073124(x) = 2n}. A96480

Numbers k such that 24·k-1 has at least three factors 7 and the partition function evaluated at k has at least the same number of factors 7 as 24·k-1. A340957

Total number of noncomposite parts in all partitions of n. A326957

Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011. A261550

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011. A261553

Nexus numbers (n+1)²² - n²². A22538

Heptagonal numbers (A000566) which are also centered square numbers (A001844). A254230

G.f. satisfies A(x) = 1/(1-x) + x²*A(x)⁴. A364588