14221600 has 72 divisors (see below), whose sum is σ = 35974260. Its totient is φ = 5483520.

The previous prime is 14221583. The next prime is 14221631. The reversal of 14221600 is 612241.

It can be written as a sum of positive squares in 6 ways, for example, as 1175056 + 13046544 = 1084^2 + 3612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 22894 + ... + 23506.

Almost surely, 2^14221600 is an apocalyptic number.

14221600 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 14221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987130).

14221600 is an abundant number, since it is smaller than the sum of its proper divisors (21752660).

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

14221600 is a wasteful number, since it uses less digits than its factorization.

14221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14221600 is about 3771.1536696348. The cubic root of 14221600 is about 242.2792123694.

Adding to 14221600 its reverse (612241), we get a palindrome (14833841).

The spelling of 14221600 in words is "fourteen million, two hundred twenty-one thousand, six hundred".