225322400 has 36 divisors (see below), whose sum is σ = 550070262. Its totient is φ = 90128640.

The previous prime is 225322333. The next prime is 225322411. The reversal of 225322400 is 4223522.

It can be written as a sum of positive squares in 3 ways, for example, as 108076816 + 117245584 = 10396^2 + 10828^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140027 + ... + 141626.

Almost surely, 2^225322400 is an apocalyptic number.

225322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225322400 is an abundant number, since it is smaller than the sum of its proper divisors (324747862).

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

225322400 is a wasteful number, since it uses less digits than its factorization.

225322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281673 (or 281660 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 225322400 is about 15010.7428197275. The cubic root of 225322400 is about 608.5105649030.

Adding to 225322400 its reverse (4223522), we get a palindrome (229545922).

The spelling of 225322400 in words is "two hundred twenty-five million, three hundred twenty-two thousand, four hundred".