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14224 = 247127

14224 has 20 divisors (see below), whose sum is σ = 31744. Its totient is φ = 6048.

The previous prime is 14221. The next prime is 14243. The reversal of 14224 is 42241.

14224 is nontrivially palindromic in base 15.

14224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 11 and base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 49 + ... + 175.

214224 is an apocalyptic number.

14224 is a gapful number since it is divisible by the number (14) 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 14224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872).

14224 is an abundant number, since it is smaller than the sum of its proper divisors (17520).

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

14224 is a wasteful number, since it uses less digits than its factorization.

14224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

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

The square root of 14224 is about 119.2644121270. The cubic root of 14224 is about 24.2292840405.

Adding to 14224 its reverse (42241), we get a palindrome (56465).

It can be divided in two parts, 14 and 224, that multiplied together give a square (3136 = 562).

The spelling of 14224 in words is "fourteen thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 7112 14224