206315200 has 252 divisors, whose sum is σ = 634014480. Its totient is φ = 64696320.

The previous prime is 206315173. The next prime is 206315257. The reversal of 206315200 is 2513602.

It is a happy number.

206315200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1892746 + ... + 1892854.

Almost surely, 2^206315200 is an apocalyptic number.

206315200 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 206315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317007240).

206315200 is an abundant number, since it is smaller than the sum of its proper divisors (427699280).

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

206315200 is a wasteful number, since it uses less digits than its factorization.

206315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 206315200 is about 14363.6764096105. The cubic root of 206315200 is about 590.8951269427.

Adding to 206315200 its reverse (2513602), we get a palindrome (208828802).

The spelling of 206315200 in words is "two hundred six million, three hundred fifteen thousand, two hundred".