Properties of the Number 2218

Two Thousand Two Hundred Eighteen

Basics

Value: 2217 → 2218 → 2219

Parity: even

Prime: No

Previous Prime: 2213

Next Prime: 2221

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 1109

Divisors: 1, 2, 1109, 2218

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010101010

Octal: 4252

Duodecimal: 134A

Hexadecimal: 8aa

Square: 4919524

Square Root: 47.095647357266465

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

Zero together with the numbers which can be written as a sum of distinct odd powers of 2. A62880

Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices. A96441

Maximal coefficient of the polynomial (1-x)*(1-x²)*...*(1-xⁿ). A86376

Number of divisors of n! with equal prime multiplicities. A336415

Permutation of natural numbers: a(1) = 1, a(2n) = 2·a(A064989(2n-1)), a(2n-1) = 1 + (2·a(A064989(2n-1)-1)). A245605

Dirichlet convolution of b_n=1 with c_n=3^n-1. A34730

Semiprimes sandwiched between semiprimes. A86005

a(n) = a(n-1) + a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A50025

Numbers k such that lcm(1,2,3,...,k)/7 equals the denominator of the k-th harmonic number H(k). A112815

Number T(m,n) of different strings of length n obtained from "123...m" by iteratively duplicating any substring; formatted as upper right triangle. A137743