22605268 has 72 divisors (see below), whose sum is σ = 49268520. Its totient is φ = 9031680.

The previous prime is 22605263. The next prime is 22605281. The reversal of 22605268 is 86250622.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 22391824 = 462^2 + 4732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22605263) 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, 232996 + ... + 233092.

It is an arithmetic number, because the mean of its divisors is an integer number (684285).

Almost surely, 2^22605268 is an apocalyptic number.

22605268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22605268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24634260).

22605268 is an abundant number, since it is smaller than the sum of its proper divisors (26663252).

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

22605268 is a wasteful number, since it uses less digits than its factorization.

22605268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 22605268 is about 4754.4997633821. The cubic root of 22605268 is about 282.7503948546.

The spelling of 22605268 in words is "twenty-two million, six hundred five thousand, two hundred sixty-eight".