224101232000 has 256 divisors, whose sum is σ = 577949299200. Its totient is φ = 86326272000.

The previous prime is 224101231997. The next prime is 224101232011. The reversal of 224101232000 is 232101422.

It is a self number, because there is not a number n which added to its sum of digits gives 224101232000.

It is a congruent number.

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, 113583014 + ... + 113584986.

It is an arithmetic number, because the mean of its divisors is an integer number (2257614450).

Almost surely, 2^224101232000 is an apocalyptic number.

224101232000 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 224101232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288974649600).

224101232000 is an abundant number, since it is smaller than the sum of its proper divisors (353848067200).

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

224101232000 is a wasteful number, since it uses less digits than its factorization.

224101232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 224101232000 its reverse (232101422), we get a palindrome (224333333422).

The spelling of 224101232000 in words is "two hundred twenty-four billion, one hundred one million, two hundred thirty-two thousand".