225906752 has 56 divisors (see below), whose sum is σ = 471830400. Its totient is φ = 107158016.

The previous prime is 225906739. The next prime is 225906757. The reversal of 225906752 is 257609522.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225906757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108473 + ... + 110535.

Almost surely, 2^225906752 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 225906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

225906752 is an abundant number, since it is smaller than the sum of its proper divisors (245923648).

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

225906752 is a wasteful number, since it uses less digits than its factorization.

225906752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 225906752 is about 15030.1946760513. The cubic root of 225906752 is about 609.0361487131.

The spelling of 225906752 in words is "two hundred twenty-five million, nine hundred six thousand, seven hundred fifty-two".