224241332000000 has 252 divisors, whose sum is σ = 639430068315360. Its totient is φ = 76882732800000.

The previous prime is 224241331999963. The next prime is 224241332000033. The reversal of 224241332000000 is 233142422.

It is a self number, because there is not a number n which added to its sum of digits gives 224241332000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23995691 + ... + 32004309.

Almost surely, 2^{224241332000000} is an apocalyptic number.

224241332000000 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 224241332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319715034157680).

224241332000000 is an abundant number, since it is smaller than the sum of its proper divisors (415188736315360).

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

224241332000000 is an frugal number, since it uses more digits than its factorization.

224241332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008672 (or 8008633 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 224241332000000 its reverse (233142422), we get a palindrome (224241565142422).

The spelling of 224241332000000 in words is "two hundred twenty-four trillion, two hundred forty-one billion, three hundred thirty-two million", and thus it is an aban number.