22457952 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 6359040.

The previous prime is 22457951. The next prime is 22457987. The reversal of 22457952 is 25975422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22457951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161499 + ... + 161637.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^22457952 is an apocalyptic number.

22457952 is a gapful number since it is divisible by the number (22) 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 22457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

22457952 is an abundant number, since it is smaller than the sum of its proper divisors (53746848).

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

22457952 is a wasteful number, since it uses less digits than its factorization.

22457952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 22457952 is about 4738.9821692005. The cubic root of 22457952 is about 282.1348381878.

It can be divided in two parts, 22457 and 952, that added together give a square (23409 = 153²).

The spelling of 22457952 in words is "twenty-two million, four hundred fifty-seven thousand, nine hundred fifty-two".