Properties of the Number 2216

Two Thousand Two Hundred Sixteen

Basics

Value: 2215 → 2216 → 2217

Parity: even

Prime: No

Previous Prime: 2213

Next Prime: 2221

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 277

Divisors: 1, 2, 4, 8, 277, 554, 1108, 2216

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010101000

Octal: 4250

Duodecimal: 1348

Hexadecimal: 8a8

Square: 4910656

Square Root: 47.07440918375928

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

a(n) = floor(3ⁿ / 2ⁿ). A2379

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

Number of partitions of n such that the set of parts and the set of multiplicities of parts are disjoint. A114639

Numbers m such that there are precisely 14 groups of order m. A294155

Number of integer partitions of n with no pair of consecutive parts relatively prime. A328187

Number T(n,k) of partitions of n into parts of exactly k sorts which are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256130

Integers k such that 10^k - 29 is a prime number. A108330

Number of triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1. A100448

Table read by downward antidiagonals: T(n,k) is the number of strictly increasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero. A188122

Number T(n,k) of partitions of n into parts of exactly k sorts which are introduced in ascending order such that sorts of adjacent parts are different; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262495