200047200 has 288 divisors, whose sum is σ = 708704640. Its totient is φ = 48844800.

The previous prime is 200047189. The next prime is 200047277. The reversal of 200047200 is 2740002.

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 200047200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869547 + ... + 1869653.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^200047200 is an apocalyptic number.

200047200 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 200047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

200047200 is an abundant number, since it is smaller than the sum of its proper divisors (508657440).

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

200047200 is a wasteful number, since it uses less digits than its factorization.

200047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 200047200 is about 14143.8042972886. The cubic root of 200047200 is about 584.8495485698.

Adding to 200047200 its reverse (2740002), we get a palindrome (202787202).

The spelling of 200047200 in words is "two hundred million, forty-seven thousand, two hundred".