225363152 has 120 divisors (see below), whose sum is σ = 553551624. Its totient is φ = 88252416.

The previous prime is 225363137. The next prime is 225363157. The reversal of 225363152 is 251363522.

225363152 is digitally balanced in base 2, 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 4 ways, for example, as 153859216 + 71503936 = 12404^2 + 8456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225363157) 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, 492908 + ... + 493364.

Almost surely, 2^225363152 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 225363152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276775812).

225363152 is an abundant number, since it is smaller than the sum of its proper divisors (328188472).

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

225363152 is a wasteful number, since it uses less digits than its factorization.

225363152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 225363152 is about 15012.1001861831. The cubic root of 225363152 is about 608.5472479369.

The spelling of 225363152 in words is "two hundred twenty-five million, three hundred sixty-three thousand, one hundred fifty-two".