224112004200 has 384 divisors, whose sum is σ = 886431360000. Its totient is φ = 50981011200.

The previous prime is 224112004169. The next prime is 224112004211. The reversal of 224112004200 is 2400211422.

224112004200 is a `hidden beast` number, since 2 + 2 + 41 + 1 + 200 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7961751 + ... + 7989849.

It is an arithmetic number, because the mean of its divisors is an integer number (2308415000).

Almost surely, 2^224112004200 is an apocalyptic number.

224112004200 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 224112004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443215680000).

224112004200 is an abundant number, since it is smaller than the sum of its proper divisors (662319355800).

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

224112004200 is a wasteful number, since it uses less digits than its factorization.

224112004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28342 (or 28327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 224112004200 its reverse (2400211422), we get a palindrome (226512215622).

The spelling of 224112004200 in words is "two hundred twenty-four billion, one hundred twelve million, four thousand, two hundred".