225200 has 30 divisors (see below), whose sum is σ = 542004. Its totient is φ = 89920.

The previous prime is 225167. The next prime is 225217. The reversal of 225200 is 2522.

It is an unprimeable number.

225200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119 + ... + 681.

2²²⁵²⁰⁰ is an apocalyptic number.

225200 is a gapful number since it is divisible by the number (20) 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 225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271002).

225200 is an abundant number, since it is smaller than the sum of its proper divisors (316804).

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

225200 is a wasteful number, since it uses less digits than its factorization.

225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 225200 is about 474.5524207082. The cubic root of 225200 is about 60.8400359580.

Adding to 225200 its reverse (2522), we get a palindrome (227722).

The spelling of 225200 in words is "two hundred twenty-five thousand, two hundred".