Properties of the Number 22302

Twenty-Two Thousand Three Hundred Two

Basics

Value: 22301 → 22302 → 22303

Parity: even

Prime: No

Previous Prime: 22291

Next Prime: 22303

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 × 59

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011100011110

Octal: 53436

Duodecimal: 10AA6

Hexadecimal: 571e

Square: 497379204

Square Root: 149.33854157584372

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

Unitary amicable numbers. A63991

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Larger of unitary amicable pair. A2953

Triangle T(n, k) = Number of non-equivalent (mod D₄) ways to arrange k indistinguishable points on an n X n square grid so that no three of them are collinear. Triangle read by rows. A235453

G.f.: A(x) satisfies: [xⁿ] A(x)^n²-2·n+2 = 0 for n>=2. A185072

Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102532

Number of non-equivalent (mod D₄) ways to arrange 4 points on an n X n square grid so that no three points are collinear. A235455

Numbers that are members of unitary σ aliquot cycles (union of unitary perfect, unitary amicable and unitary sociable numbers). A327157

Column 2 of triangle A354650: a(n) = A354650(n,2), for n >= 1. A354655