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12224241 = 3217109733
BaseRepresentation
bin101110101000…
…011011110001
3212000001111200
4232220123301
511112133431
61114001413
7205622121
oct56503361
925001450
1012224241
11699a287
124116269
1326c00a3
1418a2c81
151116ee6
hexba86f1

12224241 has 24 divisors (see below), whose sum is σ = 18893160. Its totient is φ = 7589376.

The previous prime is 12224221. The next prime is 12224257. The reversal of 12224241 is 14242221.

It can be written as a sum of positive squares in 4 ways, for example, as 8208225 + 4016016 = 2865^2 + 2004^2 .

It is not a de Polignac number, because 12224241 - 25 = 12224209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12224221) 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 23 ways as a sum of consecutive naturals, for example, 16311 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (787215).

Almost surely, 212224241 is an apocalyptic number.

It is an amenable number.

12224241 is a deficient number, since it is larger than the sum of its proper divisors (6668919).

12224241 is a wasteful number, since it uses less digits than its factorization.

12224241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12224241 is about 3496.3182063422. The cubic root of 12224241 is about 230.3601226739.

Adding to 12224241 its reverse (14242221), we get a palindrome (26466462).

The spelling of 12224241 in words is "twelve million, two hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 109 153 327 733 981 1853 2199 5559 6597 12461 16677 37383 79897 112149 239691 719073 1358249 4074747 12224241