14220400 has 60 divisors (see below), whose sum is σ = 34703632. Its totient is φ = 5598720.

The previous prime is 14220383. The next prime is 14220403. The reversal of 14220400 is 402241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28957 + ... + 29443.

Almost surely, 2^14220400 is an apocalyptic number.

14220400 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 14220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351816).

14220400 is an abundant number, since it is smaller than the sum of its proper divisors (20483232).

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

14220400 is a wasteful number, since it uses less digits than its factorization.

14220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 14220400 is about 3770.9945637723. The cubic root of 14220400 is about 242.2723977767.

Adding to 14220400 its reverse (402241), we get a palindrome (14622641).

The spelling of 14220400 in words is "fourteen million, two hundred twenty thousand, four hundred".