22200823650625 has 135 divisors (see below), whose sum is σ = 29470785493149. Its totient is φ = 16718131584000.

The previous prime is 22200823650601. The next prime is 22200823650631. The reversal of 22200823650625 is 52605632800222.

The square root of 22200823650625 is 4711775.

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

It can be written as a sum of positive squares in 22 ways, for example, as 20128870683441 + 2071952967184 = 4486521^2 + 1439428^2 .

It is not a de Polignac number, because 22200823650625 - 2¹⁵ = 22200823617857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 228874470577 + ... + 228874470673.

Almost surely, 2^{22200823650625} is an apocalyptic number.

22200823650625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22200823650625 is the 4711775-th square number.

22200823650625 is the 2355888-th centered octagonal number.

It is an amenable number.

22200823650625 is a deficient number, since it is larger than the sum of its proper divisors (7269961842524).

22200823650625 is an frugal number, since it uses more digits than its factorization.

22200823650625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 22200823650625 in words is "twenty-two trillion, two hundred billion, eight hundred twenty-three million, six hundred fifty thousand, six hundred twenty-five".