224132204400 has 120 divisors (see below), whose sum is σ = 773198689200. Its totient is φ = 55171000320.

The previous prime is 224132204383. The next prime is 224132204459. The reversal of 224132204400 is 4402231422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7168125 + ... + 7199324.

It is an arithmetic number, because the mean of its divisors is an integer number (6443322410).

Almost surely, 2^224132204400 is an apocalyptic number.

224132204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224132204400 is an abundant number, since it is smaller than the sum of its proper divisors (549066484800).

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

224132204400 is a wasteful number, since it uses less digits than its factorization.

224132204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367483 (or 14367472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224132204400 its reverse (4402231422), we get a palindrome (228534435822).

The spelling of 224132204400 in words is "two hundred twenty-four billion, one hundred thirty-two million, two hundred four thousand, four hundred".