224314314224 has 160 divisors (see below), whose sum is σ = 585982494720. Its totient is φ = 80333568000.

The previous prime is 224314314197. The next prime is 224314314247. The reversal of 224314314224 is 422413413422.

It is a happy number.

224314314224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3798524 + ... + 3857124.

It is an arithmetic number, because the mean of its divisors is an integer number (3662390592).

Almost surely, 2^224314314224 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 224314314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292991247360).

224314314224 is an abundant number, since it is smaller than the sum of its proper divisors (361668180496).

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

224314314224 is a wasteful number, since it uses less digits than its factorization.

224314314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58879 (or 58873 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 224314314224 its reverse (422413413422), we get a palindrome (646727727646).

The spelling of 224314314224 in words is "two hundred twenty-four billion, three hundred fourteen million, three hundred fourteen thousand, two hundred twenty-four".