14214600 has 144 divisors (see below), whose sum is σ = 48964500. Its totient is φ = 3694080.

The previous prime is 14214593. The next prime is 14214619. The reversal of 14214600 is 641241.

14214600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3755844 + 10458756 = 1938^2 + 3234^2 .

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 35 ways as a sum of consecutive naturals, for example, 95326 + ... + 95474.

Almost surely, 2^14214600 is an apocalyptic number.

14214600 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 14214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482250).

14214600 is an abundant number, since it is smaller than the sum of its proper divisors (34749900).

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

14214600 is a wasteful number, since it uses less digits than its factorization.

14214600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

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

The square root of 14214600 is about 3770.2254574495. The cubic root of 14214600 is about 242.2394551733.

Adding to 14214600 its reverse (641241), we get a palindrome (14855841).

The spelling of 14214600 in words is "fourteen million, two hundred fourteen thousand, six hundred".