14225200 has 120 divisors (see below), whose sum is σ = 38609136. Its totient is φ = 4992000.

The previous prime is 14225191. The next prime is 14225203. The reversal of 14225200 is 252241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14225203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 233170 + ... + 233230.

Almost surely, 2^14225200 is an apocalyptic number.

14225200 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 14225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304568).

14225200 is an abundant number, since it is smaller than the sum of its proper divisors (24383936).

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

14225200 is a wasteful number, since it uses less digits than its factorization.

14225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 14225200 is about 3771.6309469512. The cubic root of 14225200 is about 242.2996538476.

Adding to 14225200 its reverse (252241), we get a palindrome (14477441).

The spelling of 14225200 in words is "fourteen million, two hundred twenty-five thousand, two hundred".