Properties of the Number 22968

Twenty-Two Thousand Nine Hundred Sixty-Eight

Basics

Value: 22967 → 22968 → 22969

Parity: even

Prime: No

Previous Prime: 22963

Next Prime: 22973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 11 × 29

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100110111000

Octal: 54670

Duodecimal: 11360

Hexadecimal: 59b8

Square: 527529024

Square Root: 151.55197128378106

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

Numbers k such that the largest unitary divisor of σ(k) that is coprime with A003961(k) is also a unitary divisor of k. A351551

a(n) = T(2n,n), where T(n,k) is in A037027. A38112

a(n) = n*(n + 7)*(n + 14)*(n + 21)*(n + 28)/120. A264449

a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120. A6636

Partial sums of the Jordan function J₂(k), for 1 <= k <= n. A321879

a(n) = σ(n)*π(n²), where σ(n) is the sum of all (positive) divisors of n, and π(x) is the number of primes not exceeding x. A263325

Number of compositions (ordered partitions) of n into an even number of squares. A339418

a(0)=0, a(1)=1; for n >= 1, a(n+1) = (n+2)*a(n) + 2*∑_k=2..n-1 binomial(n, k)*a(k)*a(n-k+1). A119649

Numbers n such that n² is divisible by the sum of the distinct prime divisors of n² + 1. A196219

Riordan array (1/(1-x-x²)², x/(1-x-x²)²). A238241