225599328 has 72 divisors (see below), whose sum is σ = 656503848. Its totient is φ = 73446912.

The previous prime is 225599327. The next prime is 225599351. The reversal of 225599328 is 823995522.

225599328 is a `hidden beast` number, since 2 + 2 + 559 + 93 + 2 + 8 = 666.

225599328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (225599327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3276 + ... + 21492.

It is an arithmetic number, because the mean of its divisors is an integer number (9118109).

Almost surely, 2^225599328 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 225599328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328251924).

225599328 is an abundant number, since it is smaller than the sum of its proper divisors (430904520).

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

225599328 is a wasteful number, since it uses less digits than its factorization.

225599328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276 (or 18265 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 225599328 is about 15019.9643142053. The cubic root of 225599328 is about 608.7597554329.

The spelling of 225599328 in words is "two hundred twenty-five million, five hundred ninety-nine thousand, three hundred twenty-eight".