225300 has 36 divisors (see below), whose sum is σ = 652736. Its totient is φ = 60000.

The previous prime is 225299. The next prime is 225307. The reversal of 225300 is 3522.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225307) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 76 + ... + 675.

2²²⁵³⁰⁰ is an apocalyptic number.

225300 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 225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326368).

225300 is an abundant number, since it is smaller than the sum of its proper divisors (427436).

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

225300 is a wasteful number, since it uses less digits than its factorization.

225300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 225300 is about 474.6577714522. The cubic root of 225300 is about 60.8490399593.

Adding to 225300 its reverse (3522), we get a palindrome (228822).

It can be divided in two parts, 225 and 300, that added together give a palindrome (525).

The spelling of 225300 in words is "two hundred twenty-five thousand, three hundred".