224001202304 has 128 divisors (see below), whose sum is σ = 515806574400. Its totient is φ = 95764480000.

The previous prime is 224001202291. The next prime is 224001202357. The reversal of 224001202304 is 403202100422.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 55984304 + ... + 55988304.

Almost surely, 2^224001202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224001202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257903287200).

224001202304 is an abundant number, since it is smaller than the sum of its proper divisors (291805372096).

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

224001202304 is a wasteful number, since it uses less digits than its factorization.

224001202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 224001202304 its reverse (403202100422), we get a palindrome (627203302726).

The spelling of 224001202304 in words is "two hundred twenty-four billion, one million, two hundred two thousand, three hundred four".