14311200 has 144 divisors (see below), whose sum is σ = 47809440. Its totient is φ = 3717120.

The previous prime is 14311189. The next prime is 14311207. The reversal of 14311200 is 211341.

It is a happy number.

14311200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14311207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160756 + ... + 160844.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^14311200 is an apocalyptic number.

14311200 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 14311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23904720).

14311200 is an abundant number, since it is smaller than the sum of its proper divisors (33498240).

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

14311200 is a wasteful number, since it uses less digits than its factorization.

14311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14311200 is about 3783.0146708677. The cubic root of 14311200 is about 242.7869561553.

Adding to 14311200 its reverse (211341), we get a palindrome (14522541).

The spelling of 14311200 in words is "fourteen million, three hundred eleven thousand, two hundred".