14200200 has 288 divisors, whose sum is σ = 58032000. Its totient is φ = 3104640.

The previous prime is 14200141. The next prime is 14200243. The reversal of 14200200 is 200241.

14200200 = 91³ + 92³ + ... + 105³.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 617389 + ... + 617411.

It is an arithmetic number, because the mean of its divisors is an integer number (201500).

Almost surely, 2^14200200 is an apocalyptic number.

14200200 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 14200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).

14200200 is an abundant number, since it is smaller than the sum of its proper divisors (43831800).

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

14200200 is a wasteful number, since it uses less digits than its factorization.

14200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14200200 is about 3768.3152734345. The cubic root of 14200200 is about 242.1576278800.

Adding to 14200200 its reverse (200241), we get a palindrome (14400441).

It can be divided in two parts, 14200 and 200, that added together give a square (14400 = 120²).

The spelling of 14200200 in words is "fourteen million, two hundred thousand, two hundred".