225942528 has 264 divisors, whose sum is σ = 746745600. Its totient is φ = 60383232.

The previous prime is 225942527. The next prime is 225942581. The reversal of 225942528 is 825249522.

225942528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225942523) 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, 2859993 + ... + 2860071.

Almost surely, 2^225942528 is an apocalyptic number.

225942528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373372800).

225942528 is an abundant number, since it is smaller than the sum of its proper divisors (520803072).

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

225942528 is a wasteful number, since it uses less digits than its factorization.

225942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 225942528 is about 15031.3847665476. The cubic root of 225942528 is about 609.0682972684.

The spelling of 225942528 in words is "two hundred twenty-five million, nine hundred forty-two thousand, five hundred twenty-eight".