Properties of the Number 19224

Nineteen Thousand Two Hundred Twenty-Four

Basics

Value: 19223 → 19224 → 19225

Parity: even

Prime: No

Previous Prime: 19219

Next Prime: 19231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 89

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100011000

Octal: 45430

Duodecimal: B160

Hexadecimal: 4b18

Square: 369562176

Square Root: 138.65064009949612

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

Numbers of the form p³*q³*r where p, q, and r are prime. A179688

a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 4. A25010

Numbers with at least two 3s in their prime signature. A109399

a(n) = ∑_i=0..n digsum₈(i)³, where digsum₈(i) = A053829(i). A231682

Triangle read by rows: number of hex trees with n edges and k branches of length 1 (0<=k<=n). A126321

E.g.f. exp(2x)*(Bessel_I(0,2·sqrt(2)x) + Bessel_I(1,2·sqrt(2)x)/sqrt(2)). A119976

Expansion of q^3/8 * η(q)³ / η(q³)⁴ in powers of q. A187427

a(n) is 2ⁿ times the expected value of the shortest run of 0's in a binary word of length n. A209232

a(n) = ∑_k=0..3 f(n+k)² where f=A130519. A238604

a(n) = [xⁿ] 1/(1 + n·x/(1 + n·x²/(1 + n·x³/(1 + n·x⁴/(1 + n·x⁵/(1 - ...)))))), a continued fraction. A291335