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Properties of the Number 22728

Twenty-Two Thousand Seven Hundred Twenty-Eight

Basics

Value: 22727 → 22728 → 22729

Parity: even

Prime: No

Previous Prime: 22727

Next Prime: 22739

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 3 × 3 × 947

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 947, 1894

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011001000

Octal: 54310

Duodecimal: 111A0

Hexadecimal: 58c8

Square: 516561984

Square Root: 150.75808436034202

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254092
Integer part of log(nn)log(n). A62431
Nearest integer to log(nn)log(n). A62432
a(n) is the largest k in an nnacci(k) sequence (Fibonacci(k) for n=2, tribonacci(k) for n=3, etc.) such that nnacci(k) >= 2k-n-1. A202805
Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254085
Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254087
Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254094
a(1) = 7; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0. A25002
Subtract 1, multiply by 1, subtract 2, multiply by 2, etc. A101634
Numbers m such that ψ(x) = φ(m) has a solution while σ(y) = φ(m) has none. A291524