14242200 has 96 divisors (see below), whose sum is σ = 50472960. Its totient is φ = 3254400.

The previous prime is 14242183. The next prime is 14242223. The reversal of 14242200 is 224241.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14242200.

It is a congruent number.

It is an unprimeable number.

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, 2505 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (525760).

Almost surely, 2^14242200 is an apocalyptic number.

14242200 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 14242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236480).

14242200 is an abundant number, since it is smaller than the sum of its proper divisors (36230760).

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

14242200 is a wasteful number, since it uses less digits than its factorization.

14242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 14242200 is about 3773.8839409818. The cubic root of 14242200 is about 242.3961364828.

Adding to 14242200 its reverse (224241), we get a palindrome (14466441).

The spelling of 14242200 in words is "fourteen million, two hundred forty-two thousand, two hundred".