225245200 has 30 divisors (see below), whose sum is σ = 541152554. Its totient is φ = 90097920.

The previous prime is 225245183. The next prime is 225245201. The reversal of 225245200 is 2542522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22581504 + 202663696 = 4752^2 + 14236^2 .

It is not an unprimeable number, because it can be changed into a prime (225245201) 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 5 ways as a sum of consecutive naturals, for example, 281157 + ... + 281956.

Almost surely, 2^225245200 is an apocalyptic number.

225245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225245200 is an abundant number, since it is smaller than the sum of its proper divisors (315907354).

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

225245200 is a wasteful number, since it uses less digits than its factorization.

225245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563131 (or 563120 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225245200 is about 15008.1711077666. The cubic root of 225245200 is about 608.4410609660.

Adding to 225245200 its reverse (2542522), we get a palindrome (227787722).

The spelling of 225245200 in words is "two hundred twenty-five million, two hundred forty-five thousand, two hundred".