Properties of the Number 22715

Twenty-Two Thousand Seven Hundred Fifteen

Basics

Value: 22714 → 22715 → 22716

Parity: odd

Prime: No

Previous Prime: 22709

Next Prime: 22717

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 11 × 59

Divisors: 1, 5, 7, 11, 35, 55, 59, 77, 295, 385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100010111011

Octal: 54273

Duodecimal: 1118B

Hexadecimal: 58bb

Square: 515971225

Square Root: 150.7149627608354

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 nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array. A219627

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n} k². A50409

Partial sums of A000132. A175360

a(n) = (6 + 10·n + 5·n² + n³)/2. A164845

Matrix inverse of A107719. A107727

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

Numbers n such that the middle coefficient of the cyclotomic polynomial Phi_n(x) has a value not obtained for any smaller n. A95877

a(n) = ∑_m=1..n A000045(m)*(A004001(m+1) - 2·A004001(m) + A004001(m-1)). A120475

The least k such that the polynomial cyclotomic(k,x) has n different coefficients. A231611

a(n) is the smallest number k such that n·k is a partition number. A235704