224103114402320 has 160 divisors (see below), whose sum is σ = 540190425600000. Its totient is φ = 86360149370880.

The previous prime is 224103114402289. The next prime is 224103114402331. The reversal of 224103114402320 is 23204411301422.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7259795846 + ... + 7259826714.

It is an arithmetic number, because the mean of its divisors is an integer number (3376190160000).

Almost surely, 2^{224103114402320} is an apocalyptic number.

224103114402320 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 224103114402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270095212800000).

224103114402320 is an abundant number, since it is smaller than the sum of its proper divisors (316087311197680).

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

224103114402320 is a wasteful number, since it uses less digits than its factorization.

224103114402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37681 (or 37675 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 224103114402320 its reverse (23204411301422), we get a palindrome (247307525703742).

The spelling of 224103114402320 in words is "two hundred twenty-four trillion, one hundred three billion, one hundred fourteen million, four hundred two thousand, three hundred twenty".