Properties of the Number 23189

Twenty-Three Thousand One Hundred Eighty-Nine

Basics

Value: 23188 → 23189 → 23190

Parity: odd

Prime: Yes

Previous Prime: 23173

Next Prime: 23197

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 23189

Divisors: 1, 23189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101010010101

Octal: 55225

Duodecimal: 11505

Hexadecimal: 5a95

Square: 537729721

Square Root: 152.27934856703322

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

Primes p whose period of reciprocal equals (p-1)/11. A56216

T(n,k)=Number of nXk 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229402

The 360 degree spoke (or ray) of a hexagonal spiral of Ulam. A244803

Primes whose base-8 representation is a perfect square in base 10. A267490

Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454. A94455

a(n) = 24·n² + 52·n + 29. A258721

First of three consecutive primes p,q,r such that r²-p²+p, r²-p²+q and r²-p²+r are consecutive primes. A347531

Number of partitions of n having exactly one part with multiplicity 3. A118808

Smallest prime p such that p divides m^m+1+1, where m = (p-2n-1)/(2n). A123571

Number of n X 3 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229397