200090016 has 72 divisors (see below), whose sum is σ = 650299104. Its totient is φ = 57168000.

The previous prime is 200090003. The next prime is 200090021. The reversal of 200090016 is 610090002.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 47610 + ... + 51641.

It is an arithmetic number, because the mean of its divisors is an integer number (9031932).

Almost surely, 2^200090016 is an apocalyptic number.

It is an amenable number.

200090016 is an abundant number, since it is smaller than the sum of its proper divisors (450209088).

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

200090016 is a wasteful number, since it uses less digits than its factorization.

200090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99274 (or 99263 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 200090016 is about 14145.3178119122. The cubic root of 200090016 is about 584.8912706100.

The spelling of 200090016 in words is "two hundred million, ninety thousand, sixteen".