225000 has 72 divisors (see below), whose sum is σ = 761670. Its totient is φ = 60000.

The previous prime is 224993. The next prime is 225023. The reversal of 225000 is 522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 224676 = 18^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

225000 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44998 + ... + 45002.

2²²⁵⁰⁰⁰ is an apocalyptic number.

225000 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 225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380835).

225000 is an abundant number, since it is smaller than the sum of its proper divisors (536670).

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

225000 is an equidigital number, since it uses as much as digits as its factorization.

225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 225000 is about 474.3416490253. The cubic root of 225000 is about 60.8220199557.

Adding to 225000 its reverse (522), we get a palindrome (225522).

The spelling of 225000 in words is "two hundred twenty-five thousand".