22625200 has 120 divisors (see below), whose sum is σ = 61888400. Its totient is φ = 7879680.

The previous prime is 22625179. The next prime is 22625209. The reversal of 22625200 is 252622.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (22625209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98686 + ... + 98914.

Almost surely, 2^22625200 is an apocalyptic number.

22625200 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 22625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30944200).

22625200 is an abundant number, since it is smaller than the sum of its proper divisors (39263200).

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

22625200 is a wasteful number, since it uses less digits than its factorization.

22625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 22625200 is about 4756.5954210969. The cubic root of 22625200 is about 282.8334746814.

Adding to 22625200 its reverse (252622), we get a palindrome (22877822).

The spelling of 22625200 in words is "twenty-two million, six hundred twenty-five thousand, two hundred".