22525302400 has 96 divisors (see below), whose sum is σ = 55792857600. Its totient is φ = 8986106880.

The previous prime is 22525302383. The next prime is 22525302407. The reversal of 22525302400 is 420352522.

It is a happy number.

It is a super-2 number, since 2×22525302400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22525302407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216411 + ... + 1234789.

It is an arithmetic number, because the mean of its divisors is an integer number (581175600).

Almost surely, 2^22525302400 is an apocalyptic number.

22525302400 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 22525302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896428800).

22525302400 is an abundant number, since it is smaller than the sum of its proper divisors (33267555200).

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

22525302400 is a wasteful number, since it uses less digits than its factorization.

22525302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18786 (or 18769 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 22525302400 its reverse (420352522), we get a palindrome (22945654922).

The spelling of 22525302400 in words is "twenty-two billion, five hundred twenty-five million, three hundred two thousand, four hundred".