200200320 has 96 divisors (see below), whose sum is σ = 691336620. Its totient is φ = 53385216.

The previous prime is 200200267. The next prime is 200200331. The reversal of 200200320 is 23002002.

200200320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 191767104 + 8433216 = 13848^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11619 + ... + 23138.

Almost surely, 2^200200320 is an apocalyptic number.

200200320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200320 is an abundant number, since it is smaller than the sum of its proper divisors (491136300).

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

200200320 is a wasteful number, since it uses less digits than its factorization.

200200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34782 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200200320 is about 14149.2162327106. The cubic root of 200200320 is about 584.9987289037.

Adding to 200200320 its reverse (23002002), we get a palindrome (223202322).

The spelling of 200200320 in words is "two hundred million, two hundred thousand, three hundred twenty".