224130024020 has 192 divisors, whose sum is σ = 587987237376. Its totient is φ = 70013583360.

The previous prime is 224130023987. The next prime is 224130024031. The reversal of 224130024020 is 20420031422.

224130024020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224130023983 and 224130024001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11554730 + ... + 11574110.

It is an arithmetic number, because the mean of its divisors is an integer number (3062433528).

Almost surely, 2^224130024020 is an apocalyptic number.

224130024020 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 224130024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293993618688).

224130024020 is an abundant number, since it is smaller than the sum of its proper divisors (363857213356).

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

224130024020 is a wasteful number, since it uses less digits than its factorization.

224130024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19568 counting only the distinct ones).

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

Adding to 224130024020 its reverse (20420031422), we get a palindrome (244550055442).

The spelling of 224130024020 in words is "two hundred twenty-four billion, one hundred thirty million, twenty-four thousand, twenty".