Properties of the Number 23229

Twenty-Three Thousand Two Hundred Twenty-Nine

Basics

Value: 23228 → 23229 → 23230

Parity: odd

Prime: No

Previous Prime: 23227

Next Prime: 23251

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 29 × 89

Divisors: 1, 3, 9, 29, 87, 89, 261, 267, 801, 2581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101010111101

Octal: 55275

Duodecimal: 11539

Hexadecimal: 5abd

Square: 539586441

Square Root: 152.41062955056645

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

Expansion of x*(1+x)/(1-x²-2·x³). A159284

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) > number of parts of p. A241832

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305489

The maximum number of coins that can be processed in n weighings that all are real except for one LHR-coin starting in the heavy state. A279674

Cyclotomic polynomials Phi_n at x=φ, divided by sqrt(5) and rounded to nearest integer (where φ = τ = (sqrt(5)+1)/2). A63706

Cyclotomic polynomials Phi_n at x=φ divided by sqrt(5) and ceiled up (where φ = τ = (sqrt(5)+1)/2). A63708

Expansion of (1-x)/(1-x²+2·x³). A78028

Expansion of g.f. x*(-1-x-3·x²-x³+2·x⁵)/((2·x³+x²-1)*(x⁴+1)). A107851

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 5 and columns nondecreasing modulo 7. A264837

Denominators of continued fraction convergents to sqrt(215). A41401