208286200 has 48 divisors (see below), whose sum is σ = 488841480. Its totient is φ = 82527360.

The previous prime is 208286173. The next prime is 208286213. The reversal of 208286200 is 2682802.

It is a happy number.

208286200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208286200² = 86766282220880000, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

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, 16534 + ... + 26266.

Almost surely, 2^208286200 is an apocalyptic number.

208286200 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 208286200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244420740).

208286200 is an abundant number, since it is smaller than the sum of its proper divisors (280555280).

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

208286200 is a wasteful number, since it uses less digits than its factorization.

208286200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 208286200 is about 14432.1238908208. The cubic root of 208286200 is about 592.7708411797.

It can be divided in two parts, 20828 and 6200, that added together give a triangular number (27028 = T₂₃₂).

The spelling of 208286200 in words is "two hundred eight million, two hundred eighty-six thousand, two hundred".