206194200 has 96 divisors (see below), whose sum is σ = 641543760. Its totient is φ = 54784000.

The previous prime is 206194193. The next prime is 206194201. The reversal of 206194200 is 2491602.

It is a super-2 number, since 2×206194200² = 85032096227280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206194201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240172 + ... + 241028.

Almost surely, 2^206194200 is an apocalyptic number.

206194200 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 206194200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320771880).

206194200 is an abundant number, since it is smaller than the sum of its proper divisors (435349560).

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

206194200 is a wasteful number, since it uses less digits than its factorization.

206194200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 206194200 is about 14359.4637782892. The cubic root of 206194200 is about 590.7795880450.

The spelling of 206194200 in words is "two hundred six million, one hundred ninety-four thousand, two hundred".