214014200 has 48 divisors (see below), whose sum is σ = 514755000. Its totient is φ = 82651520.

The previous prime is 214014193. The next prime is 214014217. The reversal of 214014200 is 2410412.

It is a zygodrome in base 2.

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 11 ways as a sum of consecutive naturals, for example, 12650 + ... + 24249.

Almost surely, 2^214014200 is an apocalyptic number.

214014200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214014200 is an abundant number, since it is smaller than the sum of its proper divisors (300740800).

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

214014200 is a wasteful number, since it uses less digits than its factorization.

214014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36944 (or 36935 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214014200 is about 14629.2241762849. The cubic root of 214014200 is about 598.1556326205.

Adding to 214014200 its reverse (2410412), we get a palindrome (216424612).

The spelling of 214014200 in words is "two hundred fourteen million, fourteen thousand, two hundred".