225307152 has 120 divisors (see below), whose sum is σ = 729578304. Its totient is φ = 63574272.

The previous prime is 225307151. The next prime is 225307153. The reversal of 225307152 is 251703522.

225307152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225307151) and next prime (225307153).

It is a super-2 number, since 2×225307152² = 101526625484702208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225307151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82318 + ... + 85010.

Almost surely, 2^225307152 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 225307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364789152).

225307152 is an abundant number, since it is smaller than the sum of its proper divisors (504271152).

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

225307152 is a wasteful number, since it uses less digits than its factorization.

225307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 225307152 is about 15010.2349082218. The cubic root of 225307152 is about 608.4968382334.

The spelling of 225307152 in words is "two hundred twenty-five million, three hundred seven thousand, one hundred fifty-two".