206193200 has 60 divisors (see below), whose sum is σ = 503833080. Its totient is φ = 81070080.

The previous prime is 206193199. The next prime is 206193257. The reversal of 206193200 is 2391602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19232 + ... + 27968.

It is an arithmetic number, because the mean of its divisors is an integer number (8397218).

Almost surely, 2^206193200 is an apocalyptic number.

206193200 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 206193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251916540).

206193200 is an abundant number, since it is smaller than the sum of its proper divisors (297639880).

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

206193200 is a wasteful number, since it uses less digits than its factorization.

206193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8803 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 206193200 is about 14359.4289580053. The cubic root of 206193200 is about 590.7786329898.

The spelling of 206193200 in words is "two hundred six million, one hundred ninety-three thousand, two hundred".