200013200 has 60 divisors (see below), whose sum is σ = 490801920. Its totient is φ = 78295680.

The previous prime is 200013197. The next prime is 200013217. The reversal of 200013200 is 2310002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13481 + ... + 24119.

It is an arithmetic number, because the mean of its divisors is an integer number (8180032).

Almost surely, 2^200013200 is an apocalyptic number.

200013200 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 200013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400960).

200013200 is an abundant number, since it is smaller than the sum of its proper divisors (290788720).

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

200013200 is a wasteful number, since it uses less digits than its factorization.

200013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200013200 is about 14142.6023065064. The cubic root of 200013200 is about 584.8164130376.

Adding to 200013200 its reverse (2310002), we get a palindrome (202323202).

The spelling of 200013200 in words is "two hundred million, thirteen thousand, two hundred".