Properties of the Number -208012

Two Hundred Eight Thousand Twelve

Basics

Value: -208013 → -208012 → -208011

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 17 × 19 × 23

Divisors: 1, 2, 4, 7, 14, 17, 19, 23, 28, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110010110010001100

Octal: -626214

Duodecimal: -A0464

Hexadecimal: -32c8c

Square: 43268992144

Square Root: 456.08332572020214

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·c(-x²) where c(x) is the g.f. of A000108. A105523

Convolution of A115140 with itself. A115141

O.g.f. inverse of Catalan A000108 o.g.f. A115140

Dirichlet inverse of right-shifted Catalan numbers [as when started from A000108(0): 1, 1, 2, 5, 14, 42, etc.]. A349450

An inverse Chebyshev transform of 1-x. A99363

a(n) = (-1)^[(n+1)/2] A000108([n/2]+1). A129996

Convolution inverse of A001700. A246432

G.f.: A(x,y) = ∑_n=-oo..+oo (x·y)^n*(n+1/2) * C(x)ⁿ, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows n >= 0. A355343

Expansion of (-1 + 2·x + sqrt( 1 - 4·x²)) / (2·x) in powers of x. A210628

Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). A108