Properties of the Number 22306

Twenty-Two Thousand Three Hundred Six

Basics

Value: 22305 → 22306 → 22307

Parity: even

Prime: No

Previous Prime: 22303

Next Prime: 22307

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 19 × 587

Divisors: 1, 2, 19, 38, 587, 1174, 11153, 22306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 101011100100010

Octal: 53442

Duodecimal: 10AAA

Hexadecimal: 5722

Square: 497557636

Square Root: 149.3519333654573

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

G.f. A(x) satisfies: A(x) = 1/(1 - x·A(x)/(1 - 2·x*A(x)/(1 - 3·x*A(x)/(1 - 4·x*A(x)/(1 - ...))))), a continued fraction. A301363

Number of subsets of {1..n} containing n such that some element can be written as a positive linear combination of the others. A365042

a(n) = [x^n*(n+1/2)] ∏_k=1..n ∑_m>=0 x^k·m². A320932

a(n) = 2*(n³ + n² + n - 1). A155120

Expansion of g.f. (sqrt(x+1) - sqrt(1-3·x))/(2*(x+1)^3/2). A309303

a(1)=0; for n>1, a(n) = 4·n³ - 3·n² - 3·n + 4. A296363

Numbers n such that 6·p(n)-1 and 6·p(n)+1 are twin primes and 6·p(n+1)-1 and 6·p(n+1)+1 are also twin primes with p(n) = n-th prime. A126655

Alternating sum of heptagonal pyramidal numbers. A269428

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood. A279807

Numbers k such that φ(x) = 12·k+2 is solvable, where φ is Euler's totient A000010. A289364