214297200 has 360 divisors, whose sum is σ = 846525680. Its totient is φ = 49766400.

The previous prime is 214297183. The next prime is 214297247. The reversal of 214297200 is 2792412.

214297200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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, 889080 + ... + 889320.

Almost surely, 2^214297200 is an apocalyptic number.

214297200 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 214297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423262840).

214297200 is an abundant number, since it is smaller than the sum of its proper divisors (632228480).

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

214297200 is a wasteful number, since it uses less digits than its factorization.

214297200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 214297200 is about 14638.8934008005. The cubic root of 214297200 is about 598.4191719624.

The spelling of 214297200 in words is "two hundred fourteen million, two hundred ninety-seven thousand, two hundred".