224320130100 has 432 divisors, whose sum is σ = 802495512000. Its totient is φ = 51909580800.

The previous prime is 224320130033. The next prime is 224320130143. The reversal of 224320130100 is 1031023422.

224320130100 is a `hidden beast` number, since 2 + 2 + 432 + 0 + 130 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25547511 + ... + 25556289.

It is an arithmetic number, because the mean of its divisors is an integer number (1857628500).

Almost surely, 2^224320130100 is an apocalyptic number.

224320130100 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 224320130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401247756000).

224320130100 is an abundant number, since it is smaller than the sum of its proper divisors (578175381900).

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

224320130100 is a wasteful number, since it uses less digits than its factorization.

224320130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 224320130100 its reverse (1031023422), we get a palindrome (225351153522).

The spelling of 224320130100 in words is "two hundred twenty-four billion, three hundred twenty million, one hundred thirty thousand, one hundred".