224012224400 has 30 divisors (see below), whose sum is σ = 538189370082. Its totient is φ = 89604889600.

The previous prime is 224012224399. The next prime is 224012224421. The reversal of 224012224400 is 4422210422.

It can be written as a sum of positive squares in 3 ways, for example, as 6292931584 + 217719292816 = 79328^2 + 466604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280014881 + ... + 280015680.

Almost surely, 2^224012224400 is an apocalyptic number.

224012224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224012224400 is an abundant number, since it is smaller than the sum of its proper divisors (314177145682).

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

224012224400 is a wasteful number, since it uses less digits than its factorization.

224012224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560030579 (or 560030568 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 224012224400 its reverse (4422210422), we get a palindrome (228434434822).

The spelling of 224012224400 in words is "two hundred twenty-four billion, twelve million, two hundred twenty-four thousand, four hundred".