224355520003230 has 384 divisors, whose sum is σ = 748581143731200. Its totient is φ = 45258300702720.

The previous prime is 224355520003171. The next prime is 224355520003271. The reversal of 224355520003230 is 32300025553422.

224355520003230 is a `hidden beast` number, since 2 + 2 + 43 + 5 + 552 + 0 + 0 + 0 + 32 + 30 = 666.

224355520003230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114153717 + ... + 116102463.

It is an arithmetic number, because the mean of its divisors is an integer number (1949430061800).

Almost surely, 2^{224355520003230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224355520003230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374290571865600).

224355520003230 is an abundant number, since it is smaller than the sum of its proper divisors (524225623727970).

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

224355520003230 is a wasteful number, since it uses less digits than its factorization.

224355520003230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949264 (or 1949261 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 224355520003230 its reverse (32300025553422), we get a palindrome (256655545556652).

The spelling of 224355520003230 in words is "two hundred twenty-four trillion, three hundred fifty-five billion, five hundred twenty million, three thousand, two hundred thirty".