Properties of the Number 22702

Twenty-Two Thousand Seven Hundred Two

Basics

Value: 22701 → 22702 → 22703

Parity: even

Prime: No

Previous Prime: 22699

Next Prime: 22709

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 11351

Divisors: 1, 2, 11351, 22702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010101110

Octal: 54256

Duodecimal: 1117A

Hexadecimal: 58ae

Square: 515380804

Square Root: 150.6718288201215

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) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors. A237859

Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves. A323714

Sum of primes p with n² < p < (n+1)². A108314

Integers which can be written in exactly three ways as sum of two distinct nonzero pentagonal numbers. A333013

G.f.: ∑_k>=0 2^k * x^k² / ∏_j=1..k (1 - x^j). A376948

Sequence F_n from a paper by Robert Osburn and Brundaban Sahu. A224530

Number of isoscent sequences of length n with exactly eight ascents. A243234

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 94 ones. A31862

Number of strings of numbers x(i=1..6) in 0..n with sum i·x(i)² equal to n·36. A184445

Number of (n+1) X (2+1) 0..1 arrays with no element greater than all horizontal neighbors or less than all vertical neighbors. A237853