22800625 has 15 divisors (see below), whose sum is σ = 28641613. Its totient is φ = 18145000.

The previous prime is 22800619. The next prime is 22800629. The reversal of 22800625 is 52600822.

22800625 = T₃₉₀ + T₃₉₁ + ... + T₅₈₀.

The square root of 22800625 is 4775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1787569 + 21013056 = 1337^2 + 4584^2 .

It is not a de Polignac number, because 22800625 - 2⁷ = 22800497 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22800625.

It is not an unprimeable number, because it can be changed into a prime (22800629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 119280 + ... + 119470.

Almost surely, 2^22800625 is an apocalyptic number.

22800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22800625 is the 4775-th square number.

22800625 is the 2388-th centered octagonal number.

It is an amenable number.

22800625 is a deficient number, since it is larger than the sum of its proper divisors (5840988).

22800625 is an frugal number, since it uses more digits than its factorization.

22800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 22800625 is about 283.5625787885.

Multiplying 22800625 by its sum of digits (25), we get a square (570015625 = 23875²).

22800625 divided by its sum of digits (25) gives a square (912025 = 955²).

The spelling of 22800625 in words is "twenty-two million, eight hundred thousand, six hundred twenty-five".