Properties of the Number 2222

Two Thousand Two Hundred Twenty-Two

Basics

Value: 2221 → 2222 → 2223

Parity: even

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 8

Digital Root: 8

Palindrome: Yes

Factorization: 2 × 11 × 101

Divisors: 1, 2, 11, 22, 101, 202, 1111, 2222

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010101110

Octal: 4256

Duodecimal: 1352

Hexadecimal: 8ae

Square: 4937284

Square Root: 47.138094997570704

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

Repdigit numbers, or numbers whose digits are all equal. A10785

Number of unimodular 2 X 2 matrices having all terms in {0,1,...,n}. A210000

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

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

a(n) = 2*(10ⁿ - 1)/9. A2276

Start with 1; for n>1, replace n with the concatenation of its prime factors in increasing order. A37276

Numbers n such that BCR(n) = n, where BCR = binary-complement-and-reverse = take one's complement then reverse bit order. A35928

Numbers using only digits 2 and 3. A32810

Numbers n such that Bernoulli number B_n has denominator 138. A271635

Numbers all of whose divisors are palindromic. A62687