22205268 has 36 divisors (see below), whose sum is σ = 56279860. Its totient is φ = 7382016.

The previous prime is 22205257. The next prime is 22205273. The reversal of 22205268 is 86250222.

It can be written as a sum of positive squares in 2 ways, for example, as 17994564 + 4210704 = 4242^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22205268³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20238 + ... + 21306.

Almost surely, 2^22205268 is an apocalyptic number.

It is an amenable number.

22205268 is an abundant number, since it is smaller than the sum of its proper divisors (34074592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22205268 is a wasteful number, since it uses less digits than its factorization.

22205268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22205268 is about 4712.2465979615. The cubic root of 22205268 is about 281.0727048523.

The spelling of 22205268 in words is "twenty-two million, two hundred five thousand, two hundred sixty-eight".