200255200 has 72 divisors (see below), whose sum is σ = 498202488. Its totient is φ = 78574080.

The previous prime is 200255197. The next prime is 200255219. The reversal of 200255200 is 2552002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 40039 + ... + 44761.

It is an arithmetic number, because the mean of its divisors is an integer number (6919479).

Almost surely, 2^200255200 is an apocalyptic number.

200255200 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 200255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249101244).

200255200 is an abundant number, since it is smaller than the sum of its proper divisors (297947288).

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

200255200 is a wasteful number, since it uses less digits than its factorization.

200255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 200255200 is about 14151.1554298580. The cubic root of 200255200 is about 585.0521783639.

The spelling of 200255200 in words is "two hundred million, two hundred fifty-five thousand, two hundred".