Properties of the Number 22768

Twenty-Two Thousand Seven Hundred Sixty-Eight

Basics

Value: 22767 → 22768 → 22769

Parity: even

Prime: No

Previous Prime: 22751

Next Prime: 22769

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1423

Divisors: 1, 2, 4, 8, 16, 1423, 2846, 5692, 11384, 22768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101100011110000

Octal: 54360

Duodecimal: 11214

Hexadecimal: 58f0

Square: 518381824

Square Root: 150.89068891088013

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

Number of edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331765

a(n) = 1·2*3 - 4·5*6 + 7·8*9 - 10·11·12 + 13·14·15 - ... + (up to n). A319543

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A298287

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A299359

Monotonic ordering of nonnegative differences 2ⁱ-10^j, for 40>= i>=0, j>=0. A192124

Number of partitions p of n such that max(p)-min(p) = 9. A218572

Numbers k such that 3^2·k-1 + 2 is prime. A134753

Concatenation of n-th prime and n-th nonprime. A253910

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A298283

Numbers k such that k-th and (k+1)-st term of A038593 differ by 4. A38635