200155200 has 504 divisors, whose sum is σ = 818644032. Its totient is φ = 42577920.

The previous prime is 200155183. The next prime is 200155201. The reversal of 200155200 is 2551002.

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 200155200.

It is not an unprimeable number, because it can be changed into a prime (200155201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5409582 + ... + 5409618.

Almost surely, 2^200155200 is an apocalyptic number.

200155200 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 200155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409322016).

200155200 is an abundant number, since it is smaller than the sum of its proper divisors (618488832).

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

200155200 is a wasteful number, since it uses less digits than its factorization.

200155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 200155200 is about 14147.6217082590. The cubic root of 200155200 is about 584.9547777155.

The spelling of 200155200 in words is "two hundred million, one hundred fifty-five thousand, two hundred".