221365233 has 24 divisors (see below), whose sum is σ = 324848160. Its totient is φ = 145238400.

The previous prime is 221365223. The next prime is 221365297. The reversal of 221365233 is 332563122.

221365233 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 652 + 3 + 3 = 666.

It is not a de Polignac number, because 221365233 - 2⁴ = 221365217 is a prime.

It is a super-2 number, since 2×221365233² = 98005132762288578, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221365197 and 221365206.

It is not an unprimeable number, because it can be changed into a prime (221365223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299178 + ... + 299916.

It is an arithmetic number, because the mean of its divisors is an integer number (13535340).

Almost surely, 2^221365233 is an apocalyptic number.

It is an amenable number.

221365233 is a deficient number, since it is larger than the sum of its proper divisors (103482927).

221365233 is a wasteful number, since it uses less digits than its factorization.

221365233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 221365233 is about 14878.3477913376. The cubic root of 221365233 is about 604.9272348340.

The spelling of 221365233 in words is "two hundred twenty-one million, three hundred sixty-five thousand, two hundred thirty-three".