Properties of the Number 22701

Twenty-Two Thousand Seven Hundred One

Basics

Value: 22700 → 22701 → 22702

Parity: odd

Prime: No

Previous Prime: 22699

Next Prime: 22709

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 23 × 47

Divisors: 1, 3, 7, 21, 23, 47, 69, 141, 161, 329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100010101101

Octal: 54255

Duodecimal: 11179

Hexadecimal: 58ad

Square: 515335401

Square Root: 150.6685103132038

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..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640

Numbers which are the product of two S-primes (A057948) in exactly three ways. A343828

a(n) = ∑_k=0..n binomial(n,k)*2^k*(k+1)^n-k. A196794

Expansion of 1/((1-x)*(1-2·x)*(1-4·x)*(1-10·x)). A21092

Fibonacci sequence beginning 0, 23. A22357

Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252637

Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252642

Squares where A323809 gets stuck. A323813

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 11000-01110-00011 pattern in any orientation. A147186

Expansion of ∏_m>=1 1/(1 + m·q^m)⁹. A22701