224152321130320 has 320 divisors, whose sum is σ = 588037164998400. Its totient is φ = 78746031636480.

The previous prime is 224152321130299. The next prime is 224152321130321. The reversal of 224152321130320 is 23031123251422.

It is a happy number.

It is a super-2 number, since 2×224152321130320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224152321130321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3945690076 + ... + 3945746884.

It is an arithmetic number, because the mean of its divisors is an integer number (1837616140620).

Almost surely, 2^{224152321130320} is an apocalyptic number.

224152321130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224152321130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294018582499200).

224152321130320 is an abundant number, since it is smaller than the sum of its proper divisors (363884843868080).

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

224152321130320 is a wasteful number, since it uses less digits than its factorization.

224152321130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57726 (or 57720 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 224152321130320 its reverse (23031123251422), we get a palindrome (247183444381742).

The spelling of 224152321130320 in words is "two hundred twenty-four trillion, one hundred fifty-two billion, three hundred twenty-one million, one hundred thirty thousand, three hundred twenty".