225813728 has 48 divisors (see below), whose sum is σ = 511396704. Its totient is φ = 96145920.

The previous prime is 225813697. The next prime is 225813733. The reversal of 225813728 is 827318522.

225813728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225813691 and 225813700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31958 + ... + 38378.

It is an arithmetic number, because the mean of its divisors is an integer number (10654098).

Almost surely, 2^225813728 is an apocalyptic number.

225813728 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 225813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255698352).

225813728 is an abundant number, since it is smaller than the sum of its proper divisors (285582976).

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

225813728 is a wasteful number, since it uses less digits than its factorization.

225813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6587 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 225813728 is about 15027.0997867187. The cubic root of 225813728 is about 608.9525408285.

The spelling of 225813728 in words is "two hundred twenty-five million, eight hundred thirteen thousand, seven hundred twenty-eight".