225400 has 72 divisors (see below), whose sum is σ = 636120. Its totient is φ = 73920.

The previous prime is 225383. The next prime is 225427. The reversal of 225400 is 4522.

It is a happy number.

225400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

225400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9789 + ... + 9811.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2²²⁵⁴⁰⁰ is an apocalyptic number.

225400 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 225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318060).

225400 is an abundant number, since it is smaller than the sum of its proper divisors (410720).

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

225400 is a wasteful number, since it uses less digits than its factorization.

225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 225400 is about 474.7630988188. The cubic root of 225400 is about 60.8580412967.

Adding to 225400 its reverse (4522), we get a palindrome (229922).

It can be divided in two parts, 225 and 400, that multiplied together give a square (90000 = 300²).

The spelling of 225400 in words is "two hundred twenty-five thousand, four hundred".