200890000 has 50 divisors (see below), whose sum is σ = 486398990. Its totient is φ = 80352000.

The previous prime is 200889929. The next prime is 200890009. The reversal of 200890000 is 98002.

It can be written as a sum of positive squares in 5 ways, for example, as 120033936 + 80856064 = 10956^2 + 8992^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 200890000.

It is not an unprimeable number, because it can be changed into a prime (200890009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 45 + ... + 20044.

Almost surely, 2^200890000 is an apocalyptic number.

200890000 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 200890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243199495).

200890000 is an abundant number, since it is smaller than the sum of its proper divisors (285508990).

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

200890000 is an equidigital number, since it uses as much as digits as its factorization.

200890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20117 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 200890000 is about 14173.5669469615. The cubic root of 200890000 is about 585.6697226797.

The spelling of 200890000 in words is "two hundred million, eight hundred ninety thousand".