225852 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 64960.

The previous prime is 225839. The next prime is 225859. The reversal of 225852 is 258522.

225852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²²⁵⁸⁵² is an apocalyptic number.

225852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

225852 is an abundant number, since it is smaller than the sum of its proper divisors (378948).

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

225852 is a wasteful number, since it uses less digits than its factorization.

225852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 225852 is about 475.2388872977. The cubic root of 225852 is about 60.8986941623.

The spelling of 225852 in words is "two hundred twenty-five thousand, eight hundred fifty-two".