225389952 has 80 divisors (see below), whose sum is σ = 670787700. Its totient is φ = 75126528.

The previous prime is 225389947. The next prime is 225389953. The reversal of 225389952 is 259983522.

225389952 is a `hidden beast` number, since 22 + 538 + 9 + 95 + 2 = 666.

225389952 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 = 225389898 and 225389907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225389953) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 502 + ... + 21237.

Almost surely, 2^225389952 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 225389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335393850).

225389952 is an abundant number, since it is smaller than the sum of its proper divisors (445397748).

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

225389952 is an equidigital number, since it uses as much as digits as its factorization.

225389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21765 (or 21744 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 225389952 is about 15012.9927729284. The cubic root of 225389952 is about 608.5713696262.

The spelling of 225389952 in words is "two hundred twenty-five million, three hundred eighty-nine thousand, nine hundred fifty-two".