214342200 has 240 divisors, whose sum is σ = 757551960. Its totient is φ = 56160000.

The previous prime is 214342199. The next prime is 214342213. The reversal of 214342200 is 2243412.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1636135 + ... + 1636265.

Almost surely, 2^214342200 is an apocalyptic number.

214342200 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 214342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378775980).

214342200 is an abundant number, since it is smaller than the sum of its proper divisors (543209760).

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

214342200 is a wasteful number, since it uses less digits than its factorization.

214342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214342200 is about 14640.4303215445. The cubic root of 214342200 is about 598.4610561277.

Adding to 214342200 its reverse (2243412), we get a palindrome (216585612).

The spelling of 214342200 in words is "two hundred fourteen million, three hundred forty-two thousand, two hundred".