225953952 has 192 divisors, whose sum is σ = 711244800. Its totient is φ = 61470720.

The previous prime is 225953951. The next prime is 225953969. The reversal of 225953952 is 259359522.

225953952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (225953951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625499 + ... + 1625637.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^225953952 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 225953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

225953952 is an abundant number, since it is smaller than the sum of its proper divisors (485290848).

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

225953952 is a wasteful number, since it uses less digits than its factorization.

225953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its digits is 243000, while the sum is 42.

The square root of 225953952 is about 15031.7647666533. The cubic root of 225953952 is about 609.0785622371.

The spelling of 225953952 in words is "two hundred twenty-five million, nine hundred fifty-three thousand, nine hundred fifty-two".