214201200 has 60 divisors (see below), whose sum is σ = 686161688. Its totient is φ = 57120000.

The previous prime is 214201187. The next prime is 214201213. The reversal of 214201200 is 2102412.

It is an interprime number because it is at equal distance from previous prime (214201187) and next prime (214201213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 88051 + ... + 90450.

Almost surely, 2^214201200 is an apocalyptic number.

214201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214201200 is an abundant number, since it is smaller than the sum of its proper divisors (471960488).

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

214201200 is a wasteful number, since it uses less digits than its factorization.

214201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178522 (or 178511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214201200 is about 14635.6140971262. The cubic root of 214201200 is about 598.3297994755.

Adding to 214201200 its reverse (2102412), we get a palindrome (216303612).

The spelling of 214201200 in words is "two hundred fourteen million, two hundred one thousand, two hundred".