225738752 has 48 divisors (see below), whose sum is σ = 456975555. Its totient is φ = 111509504.

The previous prime is 225738731. The next prime is 225738757. The reversal of 225738752 is 257837522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225738752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 112869376 + 112869376 = 10624^2 + 10624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10624.

It is a Duffinian number.

Its product of digits (235200) is a multiple of the sum of its prime factors (196).

It is not an unprimeable number, because it can be changed into a prime (225738757) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2719703 + ... + 2719785.

Almost surely, 2^225738752 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 225738752

225738752 is an abundant number, since it is smaller than the sum of its proper divisors (231236803).

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

225738752 is an frugal number, since it uses more digits than its factorization.

225738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its digits is 235200, while the sum is 41.

The square root of 225738752 is about 15024.6048866518. The cubic root of 225738752 is about 608.8851373685.

The spelling of 225738752 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, seven hundred fifty-two".