224013044000 has 96 divisors (see below), whose sum is σ = 550550722176. Its totient is φ = 89580691200.

The previous prime is 224013043979. The next prime is 224013044039. The reversal of 224013044000 is 440310422.

224013044000 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24023339 + ... + 24032661.

It is an arithmetic number, because the mean of its divisors is an integer number (5734903356).

Almost surely, 2^224013044000 is an apocalyptic number.

224013044000 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 224013044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275275361088).

224013044000 is an abundant number, since it is smaller than the sum of its proper divisors (326537678176).

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

224013044000 is an equidigital number, since it uses as much as digits as its factorization.

224013044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15355 (or 15337 counting only the distinct ones).

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

Adding to 224013044000 its reverse (440310422), we get a palindrome (224453354422).

The spelling of 224013044000 in words is "two hundred twenty-four billion, thirteen million, forty-four thousand".