Properties of the Number 2221

Two Thousand Two Hundred Twenty-One

Basics

Value: 2220 → 2221 → 2222

Parity: odd

Prime: Yes

Previous Prime: 2213

Next Prime: 2237

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2221

Divisors: 1, 2221

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010101101

Octal: 4255

Duodecimal: 1351

Hexadecimal: 8ad

Square: 4932841

Square Root: 47.12748667179272

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes having only {1, 2, 9} as digits. A385776

Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order. A7931

Primes of the form 2x² + 13y². A107132

Primes p such that the decimal expansion of its base-9 conversion is also prime. A65727

Primes whose decimal representation also represents a prime in base 3. A89981

Dispersion of the primes (an array read by downward antidiagonals). A114537

The Matula-Goebel numbers of the generalized Bethe trees. A generalized Bethe tree is a rooted tree in which vertices at the same level have the same degree. A214577

Primes with indices that are primes with prime indices. A38580

Primes of the form x² + 45y². A107152

Primes formed by concatenating k with k-1. A52089