224132200 has 24 divisors (see below), whose sum is σ = 521107830. Its totient is φ = 89652800.

The previous prime is 224132159. The next prime is 224132257. The reversal of 224132200 is 2231422.

It can be written as a sum of positive squares in 3 ways, for example, as 113167044 + 110965156 = 10638^2 + 10534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560131 + ... + 560530.

Almost surely, 2^224132200 is an apocalyptic number.

224132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224132200 is an abundant number, since it is smaller than the sum of its proper divisors (296975630).

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

224132200 is a wasteful number, since it uses less digits than its factorization.

224132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120677 (or 1120668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224132200 is about 14971.0453876808. The cubic root of 224132200 is about 607.4372461950.

Adding to 224132200 its reverse (2231422), we get a palindrome (226363622).

The spelling of 224132200 in words is "two hundred twenty-four million, one hundred thirty-two thousand, two hundred".