225302 has 36 divisors (see below), whose sum is σ = 454860. Its totient is φ = 83160.

The previous prime is 225299. The next prime is 225307. The reversal of 225302 is 203522.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11849 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (12635).

2²²⁵³⁰² is an apocalyptic number.

225302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225302 is an abundant number, since it is smaller than the sum of its proper divisors (229558).

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

225302 is a wasteful number, since it uses less digits than its factorization.

225302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 225302 is about 474.6598782286. The cubic root of 225302 is about 60.8492200121.

Adding to 225302 its reverse (203522), we get a palindrome (428824).

The spelling of 225302 in words is "two hundred twenty-five thousand, three hundred two".