214099200 has 540 divisors, whose sum is σ = 920045280. Its totient is φ = 48107520.

The previous prime is 214099187. The next prime is 214099231. The reversal of 214099200 is 2990412.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628771 + ... + 3628829.

Almost surely, 2^214099200 is an apocalyptic number.

214099200 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 214099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460022640).

214099200 is an abundant number, since it is smaller than the sum of its proper divisors (705946080).

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

214099200 is an equidigital number, since it uses as much as digits as its factorization.

214099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 214099200 is about 14632.1290316891. The cubic root of 214099200 is about 598.2348119446.

The spelling of 214099200 in words is "two hundred fourteen million, ninety-nine thousand, two hundred".