225886752 has 384 divisors, whose sum is σ = 863654400. Its totient is φ = 56070144.

The previous prime is 225886729. The next prime is 225886799. The reversal of 225886752 is 257688522.

225886752 is a `hidden beast` number, since 2 + 2 + 588 + 67 + 5 + 2 = 666.

Its product of digits (537600) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 225886698 and 225886707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13287448 + ... + 13287464.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^225886752 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 225886752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

225886752 is an abundant number, since it is smaller than the sum of its proper divisors (637767648).

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

225886752 is a wasteful number, since it uses less digits than its factorization.

225886752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 225886752 is about 15029.5293339479. The cubic root of 225886752 is about 609.0181750988.

The spelling of 225886752 in words is "two hundred twenty-five million, eight hundred eighty-six thousand, seven hundred fifty-two".