22511952 has 120 divisors (see below), whose sum is σ = 68368640. Its totient is φ = 7084800.

The previous prime is 22511897. The next prime is 22511953. The reversal of 22511952 is 25911522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22511953) 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, 549052 + ... + 549092.

Almost surely, 2^22511952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22511952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34184320).

22511952 is an abundant number, since it is smaller than the sum of its proper divisors (45856688).

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

22511952 is a wasteful number, since it uses less digits than its factorization.

22511952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 77 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 22511952 is about 4744.6761744085. The cubic root of 22511952 is about 282.3607876496.

The spelling of 22511952 in words is "twenty-two million, five hundred eleven thousand, nine hundred fifty-two".