14083200 has 192 divisors, whose sum is σ = 51856800. Its totient is φ = 3732480.

The previous prime is 14083193. The next prime is 14083217. The reversal of 14083200 is 238041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 86319 + ... + 86481.

Almost surely, 2^14083200 is an apocalyptic number.

14083200 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 14083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25928400).

14083200 is an abundant number, since it is smaller than the sum of its proper divisors (37773600).

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

14083200 is a wasteful number, since it uses less digits than its factorization.

14083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14083200 is about 3752.7589850669. The cubic root of 14083200 is about 241.4907214521.

The spelling of 14083200 in words is "fourteen million, eighty-three thousand, two hundred".