225904689 has 24 divisors (see below), whose sum is σ = 341303040. Its totient is φ = 143985336.

The previous prime is 225904673. The next prime is 225904703. The reversal of 225904689 is 986409522.

It is not a de Polignac number, because 225904689 - 2⁴ = 225904673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225904589) 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, 108472 + ... + 110534.

It is an arithmetic number, because the mean of its divisors is an integer number (14220960).

Almost surely, 2^225904689 is an apocalyptic number.

It is an amenable number.

225904689 is a deficient number, since it is larger than the sum of its proper divisors (115398351).

225904689 is an equidigital number, since it uses as much as digits as its factorization.

225904689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 225904689 is about 15030.1260473757. The cubic root of 225904689 is about 609.0342947838.

The spelling of 225904689 in words is "two hundred twenty-five million, nine hundred four thousand, six hundred eighty-nine".