200950200 has 384 divisors, whose sum is σ = 803520000. Its totient is φ = 45619200.

The previous prime is 200950181. The next prime is 200950229. The reversal of 200950200 is 2059002.

200950200 = T₄₄₁ + T₄₄₂ + ... + T₁₀₈₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009701 + ... + 1009899.

It is an arithmetic number, because the mean of its divisors is an integer number (2092500).

Almost surely, 2^200950200 is an apocalyptic number.

200950200 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 200950200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760000).

200950200 is an abundant number, since it is smaller than the sum of its proper divisors (602569800).

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

200950200 is a wasteful number, since it uses less digits than its factorization.

200950200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 200950200 is about 14175.6904593745. The cubic root of 200950200 is about 585.7282186992.

The spelling of 200950200 in words is "two hundred million, nine hundred fifty thousand, two hundred".