214834800 has 60 divisors (see below), whose sum is σ = 688191320. Its totient is φ = 57288960.

The previous prime is 214834771. The next prime is 214834801. The reversal of 214834800 is 8438412.

214834800 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 (60).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214834801) 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, 88315 + ... + 90714.

Almost surely, 2^214834800 is an apocalyptic number.

214834800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214834800 is an abundant number, since it is smaller than the sum of its proper divisors (473356520).

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

214834800 is a wasteful number, since it uses less digits than its factorization.

214834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179050 (or 179039 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214834800 is about 14657.2439428427. The cubic root of 214834800 is about 598.9191652740.

The spelling of 214834800 in words is "two hundred fourteen million, eight hundred thirty-four thousand, eight hundred".