Properties of the Number 33190

Thirty-Three Thousand One Hundred Ninety

Basics

Value: 33189 → 33190 → 33191

Parity: even

Prime: No

Previous Prime: 33181

Next Prime: 33191

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 3319

Divisors: 1, 2, 5, 10, 3319, 6638, 16595, 33190

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000110100110

Octal: 100646

Duodecimal: 1725A

Hexadecimal: 81a6

Square: 1101576100

Square Root: 182.18122845123204

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

Expansion of (1/x) * Series_Reversion( x * ((1-x)³-x⁴) ). A369161

Expansion of (ψ(x) * ψ(x³) / f(-x³)²)² in powers of·where ψ(), f() are Ramanujan θ functions. A263528

Limit of rows, when read in reverse, of triangle A227372. A227377

Expansion of ψ(x³)² * f(-x²)⁴ / f(-x)⁶ in powers of where ψ(), f() are Ramanujan θ function. A259033

Total number of nodes summed over all lattice paths from (0,0) to (n,0) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1), H=(1,0) and S=(0,1). A286760

Numbers n such that prime(n) = floor(n·log(n*ω(σ(n)))). A67253

Numbers k such that 1+k, 1+k², 1+k⁴ and 1+k¹⁶ are all prime. A188698

a(n) = ∑_k=0..n binomial(n,k) * binomial(Fibonacci(k)+1,2). A33190

G.f. A(x) satisfies: 0 = [x^n-1] (x·A(x))' / (1 + x·A(x)ⁿ⁺¹)ⁿ for n>1. A303559