Properties of the Number 37225

Thirty-Seven Thousand Two Hundred Twenty-Five

Basics

Value: 37224 → 37225 → 37226

Parity: odd

Prime: No

Previous Prime: 37223

Next Prime: 37243

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 1489

Divisors: 1, 5, 25, 1489, 7445, 37225

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101101001

Octal: 110551

Duodecimal: 19661

Hexadecimal: 9169

Square: 1385700625

Square Root: 192.93781381574738

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

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264628

Numbers m such that the decimal number concat(8,m) is a square. A273363

Alternating sum of the cubes of the first n odd-indexed Fibonacci numbers. A163202

a(n) = n! * [xⁿ] exp(n·x/(1 - x)). A293145

Total number of 0's in all (binary) max-heaps on n elements from the set {0,1}. A309051

Least x = a(n) such that sum of common prime divisors (without multiplicity) of σ(x) and φ(x) equals n, or 0 if such number (apparently) does not exist. A82056

a(n) = n + max_{0 <= i <n} ((n-i)*a(i)), a(0) = 1. A8609

Number of (n+1) X (6+1) arrays of permutations of 0..n·7+6 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264626

Number of (5+1)X(n+1) arrays of permutations of 0..n·6+5 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264632

a(n) = φ(2n+1). A37225