214351200 has 216 divisors, whose sum is σ = 864038448. Its totient is φ = 48983040.

The previous prime is 214351199. The next prime is 214351229. The reversal of 214351200 is 2153412.

214351200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48274 + ... + 52526.

It is an arithmetic number, because the mean of its divisors is an integer number (4000178).

Almost surely, 2^214351200 is an apocalyptic number.

214351200 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 214351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432019224).

214351200 is an abundant number, since it is smaller than the sum of its proper divisors (649687248).

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

214351200 is a wasteful number, since it uses less digits than its factorization.

214351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214351200 is about 14640.7376863326. The cubic root of 214351200 is about 598.4694322573.

The spelling of 214351200 in words is "two hundred fourteen million, three hundred fifty-one thousand, two hundred".