214208200 has 48 divisors (see below), whose sum is σ = 519698880. Its totient is φ = 81956160.

The previous prime is 214208167. The next prime is 214208201. The reversal of 214208200 is 2802412.

214208200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214208201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18684 + ... + 27883.

It is an arithmetic number, because the mean of its divisors is an integer number (10827060).

Almost surely, 2^214208200 is an apocalyptic number.

214208200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214208200 is an abundant number, since it is smaller than the sum of its proper divisors (305490680).

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

214208200 is a wasteful number, since it uses less digits than its factorization.

214208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46606 (or 46597 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214208200 is about 14635.8532378540. The cubic root of 214208200 is about 598.3363171218.

The spelling of 214208200 in words is "two hundred fourteen million, two hundred eight thousand, two hundred".