14301216 has 144 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 4257792.

The previous prime is 14301197. The next prime is 14301229. The reversal of 14301216 is 61210341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112545 + ... + 112671.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^14301216 is an apocalyptic number.

14301216 is a gapful number since it is divisible by the number (16) 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 14301216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

14301216 is an abundant number, since it is smaller than the sum of its proper divisors (30986208).

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

14301216 is a wasteful number, since it uses less digits than its factorization.

14301216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14301216 is about 3781.6948581291. The cubic root of 14301216 is about 242.7304840944.

Adding to 14301216 its reverse (61210341), we get a palindrome (75511557).

The spelling of 14301216 in words is "fourteen million, three hundred one thousand, two hundred sixteen".