22400252 has 36 divisors (see below), whose sum is σ = 47592720. Its totient is φ = 9180864.

The previous prime is 22400251. The next prime is 22400293. The reversal of 22400252 is 25200422.

22400252 is a modest number, since divided by 252 gives 224 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 22400252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2024 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (1322020).

Almost surely, 2^22400252 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 22400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23796360).

22400252 is an abundant number, since it is smaller than the sum of its proper divisors (25192468).

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

22400252 is a wasteful number, since it uses less digits than its factorization.

22400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 22400252 is about 4732.8904487638. The cubic root of 22400252 is about 281.8930063734.

Adding to 22400252 its reverse (25200422), we get a palindrome (47600674).

The spelling of 22400252 in words is "twenty-two million, four hundred thousand, two hundred fifty-two".