206049900 has 216 divisors, whose sum is σ = 705329856. Its totient is φ = 46300800.

The previous prime is 206049871. The next prime is 206049917. The reversal of 206049900 is 9940602.

206049900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206049900² = 84913122580020000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1572835 + ... + 1572965.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^206049900 is an apocalyptic number.

206049900 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 206049900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

206049900 is an abundant number, since it is smaller than the sum of its proper divisors (499279956).

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

206049900 is a wasteful number, since it uses less digits than its factorization.

206049900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 206049900 is about 14354.4383380194. The cubic root of 206049900 is about 590.6417416379.

The spelling of 206049900 in words is "two hundred six million, forty-nine thousand, nine hundred".