225027200 has 48 divisors (see below), whose sum is σ = 555895410. Its totient is φ = 90009600.

The previous prime is 225027199. The next prime is 225027217. The reversal of 225027200 is 2720522.

It can be written as a sum of positive squares in 3 ways, for example, as 212693056 + 12334144 = 14584^2 + 3512^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 31961 + ... + 38360.

Almost surely, 2^225027200 is an apocalyptic number.

225027200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225027200 is an abundant number, since it is smaller than the sum of its proper divisors (330868210).

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

225027200 is an equidigital number, since it uses as much as digits as its factorization.

225027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70345 (or 70328 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 225027200 is about 15000.9066392668. The cubic root of 225027200 is about 608.2447075912.

Adding to 225027200 its reverse (2720522), we get a palindrome (227747722).

The spelling of 225027200 in words is "two hundred twenty-five million, twenty-seven thousand, two hundred".