214142200 has 48 divisors (see below), whose sum is σ = 527176080. Its totient is φ = 80616960.

The previous prime is 214142171. The next prime is 214142249. The reversal of 214142200 is 2241412.

214142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28092 + ... + 34891.

It is an arithmetic number, because the mean of its divisors is an integer number (10982835).

Almost surely, 2^214142200 is an apocalyptic number.

214142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214142200 is an abundant number, since it is smaller than the sum of its proper divisors (313033880).

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

214142200 is a wasteful number, since it uses less digits than its factorization.

214142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63016 (or 63007 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214142200 is about 14633.5983271375. The cubic root of 214142200 is about 598.2748593851.

Adding to 214142200 its reverse (2241412), we get a palindrome (216383612).

The spelling of 214142200 in words is "two hundred fourteen million, one hundred forty-two thousand, two hundred".