Properties of the Number 2233

Two Thousand Two Hundred Thirty-Three

Basics

Value: 2232 → 2233 → 2234

Parity: odd

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 7 × 11 × 29

Divisors: 1, 7, 11, 29, 77, 203, 319, 2233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010111001

Octal: 4271

Duodecimal: 1361

Hexadecimal: 8b9

Square: 4986289

Square Root: 47.25462940284264

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) = 4·n² - 3·n + 1. A54552

Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). A211684

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

One of many square spiral sequences: a(n) = n² + n - floor((n-1)/2). A317186

Number of integer partitions of n having a unique mode equal to the mean, i.e., partitions whose mean appears more times than each of the other parts. A363723

Number of partitions of n into at most 5 parts. A1401

Numbers using only digits 2 and 3. A32810

Number of partitions of n in which the greatest part is 5. A26811

Expansion of 1/( 1 - x / ∏_n>=1 (1-xⁿ) ). A67687

Numbers whose base-10 expansion has no run of digits with length < 2. A33023