22425600 has 156 divisors (see below), whose sum is σ = 75160616. Its totient is φ = 5898240.

The previous prime is 22425593. The next prime is 22425607. The reversal of 22425600 is 652422.

It is an interprime number because it is at equal distance from previous prime (22425593) and next prime (22425607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307164 + ... + 307236.

Almost surely, 2^22425600 is an apocalyptic number.

22425600 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 22425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37580308).

22425600 is an abundant number, since it is smaller than the sum of its proper divisors (52735016).

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

22425600 is an equidigital number, since it uses as much as digits as its factorization.

22425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22425600 is about 4735.5675478236. The cubic root of 22425600 is about 281.9992958083. Note that the first 3 decimals are identical.

The spelling of 22425600 in words is "twenty-two million, four hundred twenty-five thousand, six hundred".