14222400 has 84 divisors (see below), whose sum is σ = 46677072. Its totient is φ = 3791360.

The previous prime is 14222347. The next prime is 14222419. The reversal of 14222400 is 422241.

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 14222400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3319 + ... + 6281.

Almost surely, 2^14222400 is an apocalyptic number.

14222400 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 14222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338536).

14222400 is an abundant number, since it is smaller than the sum of its proper divisors (32454672).

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

14222400 is a wasteful number, since it uses less digits than its factorization.

14222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2973 counting only the distinct ones).

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

The square root of 14222400 is about 3771.2597364806. The cubic root of 14222400 is about 242.2837552182.

Adding to 14222400 its reverse (422241), we get a palindrome (14644641).

The spelling of 14222400 in words is "fourteen million, two hundred twenty-two thousand, four hundred".