225731328 has 72 divisors (see below), whose sum is σ = 603683136. Its totient is φ = 74880000.

The previous prime is 225731327. The next prime is 225731369. The reversal of 225731328 is 823137522.

It is not an unprimeable number, because it can be changed into a prime (225731327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192183 + ... + 193353.

It is an arithmetic number, because the mean of its divisors is an integer number (8384488).

Almost surely, 2^225731328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301841568).

225731328 is an abundant number, since it is smaller than the sum of its proper divisors (377951808).

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

225731328 is a wasteful number, since it uses less digits than its factorization.

225731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 225731328 is about 15024.3578232149. The cubic root of 225731328 is about 608.8784623769.

The spelling of 225731328 in words is "two hundred twenty-five million, seven hundred thirty-one thousand, three hundred twenty-eight".