14213200 has 30 divisors (see below), whose sum is σ = 34148174. Its totient is φ = 5685120.

The previous prime is 14213191. The next prime is 14213209. The reversal of 14213200 is 231241.

It is an interprime number because it is at equal distance from previous prime (14213191) and next prime (14213209).

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 14197824 = 124^2 + 3768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17367 + ... + 18166.

Almost surely, 2^14213200 is an apocalyptic number.

14213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213200 is an abundant number, since it is smaller than the sum of its proper divisors (19934974).

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

14213200 is a wasteful number, since it uses less digits than its factorization.

14213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35551 (or 35540 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 14213200 is about 3770.0397875885. The cubic root of 14213200 is about 242.2315021679.

Adding to 14213200 its reverse (231241), we get a palindrome (14444441).

The spelling of 14213200 in words is "fourteen million, two hundred thirteen thousand, two hundred".