225945320 has 32 divisors (see below), whose sum is σ = 509521320. Its totient is φ = 90174720.

The previous prime is 225945311. The next prime is 225945323. The reversal of 225945320 is 23549522.

225945320 is digitally balanced in base 3, 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 4 ways, for example, as 161849284 + 64096036 = 12722^2 + 8006^2 .

It is not an unprimeable number, because it can be changed into a prime (225945323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12314 + ... + 24566.

Almost surely, 2^225945320 is an apocalyptic number.

225945320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225945320 is an abundant number, since it is smaller than the sum of its proper divisors (283576000).

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

225945320 is a wasteful number, since it uses less digits than its factorization.

225945320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 225945320 is about 15031.4776386089. The cubic root of 225945320 is about 609.0708060357.

The spelling of 225945320 in words is "two hundred twenty-five million, nine hundred forty-five thousand, three hundred twenty".