225800 has 24 divisors (see below), whose sum is σ = 525450. Its totient is φ = 90240.

The previous prime is 225781. The next prime is 225809. The reversal of 225800 is 8522.

225800 = T₁₂₅ + T₁₂₆ + ... + T₁₄₈.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 114244 + 111556 = 338^2 + 334^2 .

It is not an unprimeable number, because it can be changed into a prime (225809) by changing a digit.

225800 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365 + ... + 764.

2²²⁵⁸⁰⁰ is an apocalyptic number.

225800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225800 is an abundant number, since it is smaller than the sum of its proper divisors (299650).

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

225800 is a wasteful number, since it uses less digits than its factorization.

225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 225800 is about 475.1841748207. The cubic root of 225800 is about 60.8940200466.

The spelling of 225800 in words is "two hundred twenty-five thousand, eight hundred".