14251200 has 84 divisors (see below), whose sum is σ = 46771560. Its totient is φ = 3799040.

The previous prime is 14251187. The next prime is 14251217. The reversal of 14251200 is 215241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14251200.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3316 + ... + 6284.

Almost surely, 2^14251200 is an apocalyptic number.

14251200 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 14251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385780).

14251200 is an abundant number, since it is smaller than the sum of its proper divisors (32520360).

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

14251200 is a wasteful number, since it uses less digits than its factorization.

14251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 14251200 is about 3775.0761581722. The cubic root of 14251200 is about 242.4471844450.

Adding to 14251200 its reverse (215241), we get a palindrome (14466441).

The spelling of 14251200 in words is "fourteen million, two hundred fifty-one thousand, two hundred".