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12224 = 26191
BaseRepresentation
bin10111111000000
3121202202
42333000
5342344
6132332
750432
oct27700
917682
1012224
119203
1270a8
135744
144652
15394e
hex2fc0

12224 has 14 divisors (see below), whose sum is σ = 24384. Its totient is φ = 6080.

The previous prime is 12211. The next prime is 12227. The reversal of 12224 is 42221.

12224 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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227) by changing a digit.

12224 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 32 + ... + 159.

212224 is an apocalyptic number.

It is an amenable number.

12224 is a deficient number, since it is larger than the sum of its proper divisors (12160).

12224 is an equidigital number, since it uses as much as digits as its factorization.

12224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 32, while the sum is 11.

The square root of 12224 is about 110.5621996887. The cubic root of 12224 is about 23.0358608820.

Adding to 12224 its reverse (42221), we get a palindrome (54445).

The spelling of 12224 in words is "twelve thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 32 64 191 382 764 1528 3056 6112 12224