200002000224 has 192 divisors, whose sum is σ = 576266201280. Its totient is φ = 60366643200.

The previous prime is 200002000217. The next prime is 200002000259. The reversal of 200002000224 is 422000200002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13731954 + ... + 13746510.

It is an arithmetic number, because the mean of its divisors is an integer number (3001386465).

Almost surely, 2^200002000224 is an apocalyptic number.

200002000224 is a gapful number since it is divisible by the number (24) 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 200002000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288133100640).

200002000224 is an abundant number, since it is smaller than the sum of its proper divisors (376264201056).

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

200002000224 is a wasteful number, since it uses less digits than its factorization.

200002000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 200002000224 its reverse (422000200002), we get a palindrome (622002200226).

The spelling of 200002000224 in words is "two hundred billion, two million, two hundred twenty-four", and thus it is an aban number.