Properties of the Number -2210

Two Hundred Ten

Basics

Value: -2211 → -2210 → -2209

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 13 × 17

Divisors: 1, 2, 5, 10, 13, 17, 26, 34, 65, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100010100010

Octal: -4242

Duodecimal: -1342

Hexadecimal: -8a2

Square: 4884100

Square Root: 47.01063709417264

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

Triangle read by rows: the n-th row consists of the coefficients in the expansion of ∑_j=0..n A123162(n,j)*x^j*(1 - x)^{n - j}. A123217

Dirichlet inverse of sigma₂ function (A001157). A53822

G.f.: A(x) = (x-x²) o x/(1-x) o (1-sqrt(1-4·x))/2, a composition of functions involving the Catalan function and its inverse. A120009

Triangle read by rows: matrix 4th power of the Stirling-1 triangle A008275. A39816

Dirichlet g.f.: ζ(2·s) / (ζ(s) * ζ(s-2)). A328639

a(1) = 1; a(n) = -∑_{d∣n, d < n} A341512(n/d) * a(d), where A341512(n) = σ(n)*A003961(n) - n*σ(A003961(n)). A347096

a(n) = a(n-1) - 2·a(n-2) - 3·a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 2, a(3) = -2. A106541

a(n) = ∑_k=0..n (-2)^k * |(n - k | k)|, where (a | b) denotes the Kronecker symbol. A367545

Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x²) o x/(1-n·x) o (1-sqrt(1-4·x))/2 } for n>=1, k>=1. A120013

Expansion of e.g.f. (log(1 + log(1 + log(1 + log(1+ x)))))² / 2. A351526