Properties of the Number 22705

Twenty-Two Thousand Seven Hundred Five

Basics

Value: 22704 → 22705 → 22706

Parity: odd

Prime: No

Previous Prime: 22699

Next Prime: 22709

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 19 × 239

Divisors: 1, 5, 19, 95, 239, 1195, 4541, 22705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010110001

Octal: 54261

Duodecimal: 11181

Hexadecimal: 58b1

Square: 515517025

Square Root: 150.68178390236824

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 nX3 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281797

Quadruples of different integers from [ 1,n ] with no common factors between triples. A15625

a(n) = (1/12)*(n+1)*(n³+19·n²+118·n+228). A92327

Numbers k such that 63·10^k + 1 is prime. A271361

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281802

Expansion of ∏_m>=1 (1+m·q^m)^-13. A22705

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207272