224000113200 has 120 divisors (see below), whose sum is σ = 717984903168. Its totient is φ = 59696912640.

The previous prime is 224000113187. The next prime is 224000113229. The reversal of 224000113200 is 2311000422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×224000113200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224000113200.

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, 1939477 + ... + 2051723.

Almost surely, 2^224000113200 is an apocalyptic number.

224000113200 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 224000113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358992451584).

224000113200 is an abundant number, since it is smaller than the sum of its proper divisors (493984789968).

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

224000113200 is a wasteful number, since it uses less digits than its factorization.

224000113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113931 (or 113920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 224000113200 its reverse (2311000422), we get a palindrome (226311113622).

The spelling of 224000113200 in words is "two hundred twenty-four billion, one hundred thirteen thousand, two hundred".