225921584 has 40 divisors (see below), whose sum is σ = 501613728. Its totient is φ = 96560640.

The previous prime is 225921581. The next prime is 225921611. The reversal of 225921584 is 485129522.

225921584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225921581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41924 + ... + 47004.

Almost surely, 2^225921584 is an apocalyptic number.

It is an amenable number.

225921584 is an abundant number, since it is smaller than the sum of its proper divisors (275692144).

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

225921584 is a wasteful number, since it uses less digits than its factorization.

225921584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5487 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 225921584 is about 15030.6880747356. The cubic root of 225921584 is about 609.0494772603.

The spelling of 225921584 in words is "two hundred twenty-five million, nine hundred twenty-one thousand, five hundred eighty-four".