Properties of the Number 22632

Twenty-Two Thousand Six Hundred Thirty-Two

Basics

Value: 22631 → 22632 → 22633

Parity: even

Prime: No

Previous Prime: 22621

Next Prime: 22637

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 23 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 23, 24, 41

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100001101000

Octal: 54150

Duodecimal: 11120

Hexadecimal: 5868

Square: 512207424

Square Root: 150.4393565527319

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)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280902

T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 30 (30 maximizes T(1,1)), and no two adjacent values equal. A233917

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251791

Pentagonal numbers > 0 which are not the difference of two larger pentagonal numbers. A136113

Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers. A136117

a(n) = ∑_k=1..n k·sigma₂(k). A356125

Pentagonal numbers that are abundant. A379264

a(n) = 3·n*(9·n - 1)/2. A268351

Coefficients of mock modular form H₂⁴ (divided by 2). A256052

Positive integers n such that n=p+q for some primes p,q with π(p)*π(q) = σ(n). A273286