225795200 has 96 divisors (see below), whose sum is σ = 571721220. Its totient is φ = 88064000.

The previous prime is 225795197. The next prime is 225795203. The reversal of 225795200 is 2597522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225795197) and next prime (225795203).

It can be written as a sum of positive squares in 6 ways, for example, as 49224256 + 176570944 = 7016^2 + 13288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225795203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130340 + ... + 132060.

Almost surely, 2^225795200 is an apocalyptic number.

225795200 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 225795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285860610).

225795200 is an abundant number, since it is smaller than the sum of its proper divisors (345926020).

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

225795200 is a wasteful number, since it uses less digits than its factorization.

225795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 225795200 is about 15026.4832878488. The cubic root of 225795200 is about 608.9358855357.

The spelling of 225795200 in words is "two hundred twenty-five million, seven hundred ninety-five thousand, two hundred".