Properties of the Number 36225

Thirty-Six Thousand Two Hundred Twenty-Five

Basics

Value: 36224 → 36225 → 36226

Parity: odd

Prime: No

Previous Prime: 36217

Next Prime: 36229

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 7 × 23

Divisors: 1, 3, 5, 7, 9, 15, 21, 23, 25, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110110000001

Octal: 106601

Duodecimal: 18B69

Hexadecimal: 8d81

Square: 1312250625

Square Root: 190.3286631067428

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 of n with some part repeated. A47967

Numbers that are the sum of four third powers in eight or more ways. A345152

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 1. A380889

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in seven or more ways. A345150

a(n) = ∑_0<j<n n³-j³. A206808

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A298133

Numbers that are the sum of four third powers in ten or more ways. A345155

a(n) = coefficient of xⁿ in A(x) such that: 0 = ∑_n=-oo..+oo x^7·n * (xⁿ - 2·A(x))^8·n+1. A358957

Least sum of 4 distinct positive cubes in exactly n ways. A25421