200834000 has 40 divisors (see below), whose sum is σ = 485621448. Its totient is φ = 80332800.

The previous prime is 200833981. The next prime is 200834003. The reversal of 200834000 is 438002.

It can be written as a sum of positive squares in 4 ways, for example, as 43983424 + 156850576 = 6632^2 + 12524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 200834000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200834003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48209 + ... + 52208.

Almost surely, 2^200834000 is an apocalyptic number.

200834000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200834000 is an abundant number, since it is smaller than the sum of its proper divisors (284787448).

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

200834000 is a wasteful number, since it uses less digits than its factorization.

200834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100440 (or 100424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 200834000 is about 14171.5913009090. The cubic root of 200834000 is about 585.6152972852.

The spelling of 200834000 in words is "two hundred million, eight hundred thirty-four thousand".