225500 has 48 divisors (see below), whose sum is σ = 550368. Its totient is φ = 80000.

The previous prime is 225499. The next prime is 225503. The reversal of 225500 is 5522.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5480 + ... + 5520.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2²²⁵⁵⁰⁰ is an apocalyptic number.

225500 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 225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

225500 is an abundant number, since it is smaller than the sum of its proper divisors (324868).

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

225500 is a wasteful number, since it uses less digits than its factorization.

225500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 225500 is about 474.8684028234. The cubic root of 225500 is about 60.8670399721.

The spelling of 225500 in words is "two hundred twenty-five thousand, five hundred".