Properties of the Number 22766

Twenty-Two Thousand Seven Hundred Sixty-Six

Basics

Value: 22765 → 22766 → 22767

Parity: even

Prime: No

Previous Prime: 22751

Next Prime: 22769

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 11383

Divisors: 1, 2, 11383, 22766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011101110

Octal: 54356

Duodecimal: 11212

Hexadecimal: 58ee

Square: 518290756

Square Root: 150.88406145116852

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 3^k - 26 is prime. A219045

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252139

a(n) = n³ - 2·n² + 2·n + 1. A188947

Expansion of -x - x³*(2 -2·x⁴ +x⁵)/((1-x²)*(1+x+x⁴)). A89076

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252131

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252135

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252295

Cluster series for percolation on polyominoid cells. A383736

Numbers whose set of base-12 digits is {1,2}. A32932

a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n·floor(e*(n-1)!). A80770