225887328 has 72 divisors (see below), whose sum is σ = 663114816. Its totient is φ = 72864000.

The previous prime is 225887303. The next prime is 225887329. The reversal of 225887328 is 823788522.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225887329) 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 11 ways as a sum of consecutive naturals, for example, 3723 + ... + 21578.

It is an arithmetic number, because the mean of its divisors is an integer number (9209928).

Almost surely, 2^225887328 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 225887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331557408).

225887328 is an abundant number, since it is smaller than the sum of its proper divisors (437227488).

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

225887328 is a wasteful number, since it uses less digits than its factorization.

225887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25348 (or 25337 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 225887328 is about 15029.5484962124. The cubic root of 225887328 is about 609.0186927537.

The spelling of 225887328 in words is "two hundred twenty-five million, eight hundred eighty-seven thousand, three hundred twenty-eight".