14214200 has 192 divisors, whose sum is σ = 44997120. Its totient is φ = 4032000.

The previous prime is 14214191. The next prime is 14214203. The reversal of 14214200 is 241241.

14214200 = 742² + 743² + ... + 766².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200165 + ... + 200235.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^14214200 is an apocalyptic number.

14214200 is a gapful number since it is divisible by the number (10) 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 14214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14214200 is an abundant number, since it is smaller than the sum of its proper divisors (30782920).

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

14214200 is a wasteful number, since it uses less digits than its factorization.

14214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

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

The square root of 14214200 is about 3770.1724098508. The cubic root of 14214200 is about 242.2371829394.

Adding to 14214200 its reverse (241241), we get a palindrome (14455441).

It can be divided in two parts, 142 and 14200, that multiplied together give a square (2016400 = 1420²).

The spelling of 14214200 in words is "fourteen million, two hundred fourteen thousand, two hundred".