22552202400 has 576 divisors, whose sum is σ = 93290029056. Its totient is φ = 4603392000.

The previous prime is 22552202383. The next prime is 22552202441. The reversal of 22552202400 is 420225522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6768735 + ... + 6772065.

It is an arithmetic number, because the mean of its divisors is an integer number (161961856).

Almost surely, 2^22552202400 is an apocalyptic number.

22552202400 is a gapful number since it is divisible by the number (20) 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 22552202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46645014528).

22552202400 is an abundant number, since it is smaller than the sum of its proper divisors (70737826656).

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

22552202400 is a wasteful number, since it uses less digits than its factorization.

22552202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 22552202400 its reverse (420225522), we get a palindrome (22972427922).

The spelling of 22552202400 in words is "twenty-two billion, five hundred fifty-two million, two hundred two thousand, four hundred".