225552 has 40 divisors (see below), whose sum is σ = 603136. Its totient is φ = 72576.

The previous prime is 225529. The next prime is 225569. The reversal of 225552 is 255522.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1713 + ... + 1839.

2²²⁵⁵⁵² 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 225552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301568).

225552 is an abundant number, since it is smaller than the sum of its proper divisors (377584).

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

225552 is a wasteful number, since it uses less digits than its factorization.

225552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 1000, while the sum is 21.

The square root of 225552 is about 474.9231516782. The cubic root of 225552 is about 60.8717182320.

It can be divided in two parts, 225 and 552, that added together give a palindrome (777).

The spelling of 225552 in words is "two hundred twenty-five thousand, five hundred fifty-two".