214315200 has 504 divisors, whose sum is σ = 879683280. Its totient is φ = 50688000.

The previous prime is 214315187. The next prime is 214315223. The reversal of 214315200 is 2513412.

214315200 is a `hidden beast` number, since 2 + 143 + 1 + 520 + 0 = 666.

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

It is a zygodrome in base 2.

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, 5227180 + ... + 5227220.

Almost surely, 2^214315200 is an apocalyptic number.

214315200 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 214315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439841640).

214315200 is an abundant number, since it is smaller than the sum of its proper divisors (665368080).

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

214315200 is a wasteful number, since it uses less digits than its factorization.

214315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

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

The square root of 214315200 is about 14639.5081884604. The cubic root of 214315200 is about 598.4359263321.

Adding to 214315200 its reverse (2513412), we get a palindrome (216828612).

The spelling of 214315200 in words is "two hundred fourteen million, three hundred fifteen thousand, two hundred".