14284200 has 192 divisors, whose sum is σ = 53568000. Its totient is φ = 3075840.

The previous prime is 14284177. The next prime is 14284201. The reversal of 14284200 is 248241.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14284201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79711 + ... + 79889.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^14284200 is an apocalyptic number.

14284200 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 14284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784000).

14284200 is an abundant number, since it is smaller than the sum of its proper divisors (39283800).

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

14284200 is a wasteful number, since it uses less digits than its factorization.

14284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14284200 is about 3779.4444036128. Note that the first 4 decimals coincide. The cubic root of 14284200 is about 242.6341766401.

The spelling of 14284200 in words is "fourteen million, two hundred eighty-four thousand, two hundred".