Properties of the Number 22972

Twenty-Two Thousand Nine Hundred Seventy-Two

Basics

Value: 22971 → 22972 → 22973

Parity: even

Prime: No

Previous Prime: 22963

Next Prime: 22973

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5743

Divisors: 1, 2, 4, 5743, 11486, 22972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100110111100

Octal: 54674

Duodecimal: 11364

Hexadecimal: 59bc

Square: 527712784

Square Root: 151.56516750229915

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

T(n,k)=Half the number of 0..k arrays of length n+2 with second differences nonzero. A212782

Numerator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337338

Expansion of g/(2 - g²)², where g = 1+x·g⁴ is the g.f. of A002293. A391466

Numbers k such that 10·R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56655

Expansion of x * φ(x) * ψ(x¹⁴) / (f(-x) * f(-x⁷)) in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A193883

Half the number of 0..4 arrays of length n+2 with second differences nonzero. A212778

Half the number of 0..n arrays of length 7 with second differences nonzero. A212786

Numbers k such that decimal expansion of k² can be split into two parts whose sum is a number with repeated digits. A328173

Number of ways to place 3 nonattacking nightriders on an n X n board. A173429

a(n) = 16-n. A22972