220968225 has 27 divisors (see below), whose sum is σ = 396178419. Its totient is φ = 117730800.

The previous prime is 220968191. The next prime is 220968263. The reversal of 220968225 is 522869022.

The square root of 220968225 is 14865.

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

220968225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 79548561 + 141419664 = 8919^2 + 11892^2 .

It is not a de Polignac number, because 220968225 - 2⁹ = 220967713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220968225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222480 + ... + 223470.

Almost surely, 2^220968225 is an apocalyptic number.

220968225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220968225 is the 14865-th square number.

220968225 is the 7433-rd centered octagonal number.

It is an amenable number.

220968225 is a deficient number, since it is larger than the sum of its proper divisors (175210194).

220968225 is an frugal number, since it uses more digits than its factorization.

220968225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 220968225 is about 604.5653823666.

Multiplying 220968225 by its sum of digits (36), we get a square (7954856100 = 89190²).

The spelling of 220968225 in words is "two hundred twenty million, nine hundred sixty-eight thousand, two hundred twenty-five".