224030480800 has 144 divisors (see below), whose sum is σ = 625246231680. Its totient is φ = 76785730560.

The previous prime is 224030480753. The next prime is 224030480827. The reversal of 224030480800 is 8084030422.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29323381 + ... + 29331019.

It is an arithmetic number, because the mean of its divisors is an integer number (4341987720).

Almost surely, 2^224030480800 is an apocalyptic number.

224030480800 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 224030480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312623115840).

224030480800 is an abundant number, since it is smaller than the sum of its proper divisors (401215750880).

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

224030480800 is a wasteful number, since it uses less digits than its factorization.

224030480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12903 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 224030480800 in words is "two hundred twenty-four billion, thirty million, four hundred eighty thousand, eight hundred".