225971928 has 216 divisors, whose sum is σ = 772937100. Its totient is φ = 59439744.

The previous prime is 225971897. The next prime is 225971929. The reversal of 225971928 is 829179522.

It is a happy number.

225971928 is a `hidden beast` number, since 22 + 597 + 19 + 28 = 666.

225971928 is digitally balanced in base 2, 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 (225971929) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 596043 + ... + 596421.

Almost surely, 2^225971928 is an apocalyptic number.

225971928 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 225971928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386468550).

225971928 is an abundant number, since it is smaller than the sum of its proper divisors (546965172).

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

225971928 is a wasteful number, since it uses less digits than its factorization.

225971928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 225971928 is about 15032.3626885463. The cubic root of 225971928 is about 609.0947137668.

The spelling of 225971928 in words is "two hundred twenty-five million, nine hundred seventy-one thousand, nine hundred twenty-eight".