200013000 has 384 divisors, whose sum is σ = 746928000. Its totient is φ = 44352000.

The previous prime is 200012999. The next prime is 200013001. The reversal of 200013000 is 310002.

200013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200012999) and next prime (200013001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 200013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013001) 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 95 ways as a sum of consecutive naturals, for example, 6896986 + ... + 6897014.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^200013000 is an apocalyptic number.

200013000 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 200013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

200013000 is an abundant number, since it is smaller than the sum of its proper divisors (546915000).

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

200013000 is a wasteful number, since it uses less digits than its factorization.

200013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 200013000 is about 14142.5952356701. The cubic root of 200013000 is about 584.8162181116.

Adding to 200013000 its reverse (310002), we get a palindrome (200323002).

The spelling of 200013000 in words is "two hundred million, thirteen thousand".