Properties of the Number 45166

Forty-Five Thousand One Hundred Sixty-Six

Basics

Value: 45165 → 45166 → 45167

Parity: even

Prime: No

Previous Prime: 45161

Next Prime: 45179

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 × 2053

Divisors: 1, 2, 11, 22, 2053, 4106, 22583, 45166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001101110

Octal: 130156

Duodecimal: 2217A

Hexadecimal: b06e

Square: 2039967556

Square Root: 212.52293993825703

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 partitions p of n such that (number of numbers of the form 5k + 1 in p) is a part of p. A241550

Partial sums of A011863. A11888

G.f.: limit of the ratio of the g.f.s of adjacent rows in triangle A152800. A152803

Number of (n+2) X (5+2) 0..1 arrays with no 3·3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3. A255798

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258552

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, 0)}. A151376

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

Numbers whose base-5 representation contains exactly two 0's and one 1. A45166