Properties of the Number 22901

Twenty-Two Thousand Nine Hundred One

Basics

Value: 22900 → 22901 → 22902

Parity: odd

Prime: Yes

Previous Prime: 22877

Next Prime: 22907

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 22901

Divisors: 1, 22901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100101110101

Octal: 54565

Duodecimal: 11305

Hexadecimal: 5975

Square: 524455801

Square Root: 151.33076356114773

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 sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254907

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally and vertically. A257209

Intersection of A251964, A252280 and A252281. A252283

Numerators of b(n) = (1/16ⁿ)*(4/(8·n+1) - 2/(8·n+4) - 1/(8·n+5) - 1/(8·n+6)). A48581

Smallest prime modulus p such that there exists a multiplicative-coset Ramsey algebra in n colors over Z/pZ, or 0 if no such prime exists. A263308

Hyperartiads. A270798

Primes of the form 2·k² + 3. A201473

Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254900

One half of convolution of central binomial coefficients A000984(n) with A000984(n+2), n >= 0. A38602

Primes of the form 2·k*prime(k) + 1. A62403