225344200 has 48 divisors (see below), whose sum is σ = 536723460. Its totient is φ = 87936000.

The previous prime is 225344183. The next prime is 225344201. The reversal of 225344200 is 2443522.

It can be written as a sum of positive squares in 6 ways, for example, as 84162276 + 141181924 = 9174^2 + 11882^2 .

It is not an unprimeable number, because it can be changed into a prime (225344201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5541 + ... + 21940.

Almost surely, 2^225344200 is an apocalyptic number.

225344200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225344200 is an abundant number, since it is smaller than the sum of its proper divisors (311379260).

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

225344200 is a wasteful number, since it uses less digits than its factorization.

225344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27538 (or 27529 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 225344200 is about 15011.4689487738. The cubic root of 225344200 is about 608.5301887879.

Adding to 225344200 its reverse (2443522), we get a palindrome (227787722).

The spelling of 225344200 in words is "two hundred twenty-five million, three hundred forty-four thousand, two hundred".