206330000 has 100 divisors (see below), whose sum is σ = 511336320. Its totient is φ = 80592000.

The previous prime is 206329993. The next prime is 206330009. The reversal of 206330000 is 33602.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (206330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469781 + ... + 470219.

Almost surely, 2^206330000 is an apocalyptic number.

206330000 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 206330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255668160).

206330000 is an abundant number, since it is smaller than the sum of its proper divisors (305006320).

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

206330000 is an equidigital number, since it uses as much as digits as its factorization.

206330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 206330000 is about 14364.1915888086. The cubic root of 206330000 is about 590.9092558723.

Adding to 206330000 its reverse (33602), we get a palindrome (206363602).

The spelling of 206330000 in words is "two hundred six million, three hundred thirty thousand".