205830200 has 24 divisors (see below), whose sum is σ = 478555680. Its totient is φ = 82332000.

The previous prime is 205830199. The next prime is 205830241. The reversal of 205830200 is 2038502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 514376 + ... + 514775.

It is an arithmetic number, because the mean of its divisors is an integer number (19939820).

Almost surely, 2^205830200 is an apocalyptic number.

205830200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205830200 is an abundant number, since it is smaller than the sum of its proper divisors (272725480).

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

205830200 is a wasteful number, since it uses less digits than its factorization.

205830200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029167 (or 1029158 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205830200 is about 14346.7836116671. The cubic root of 205830200 is about 590.4317437392.

Adding to 205830200 its reverse (2038502), we get a palindrome (207868702).

The spelling of 205830200 in words is "two hundred five million, eight hundred thirty thousand, two hundred".