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12228111 = 337232997
BaseRepresentation
bin101110101001…
…011000001111
3212000020211000
4232221120033
511112244421
61114031343
7205636320
oct56513017
925006730
1012228111
1169a2185
124118553
1326c1a8c
1418a4447
151118226
hexba960f

12228111 has 64 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 6386688.

The previous prime is 12228091. The next prime is 12228113. The reversal of 12228111 is 11182221.

It is not a de Polignac number, because 12228111 - 25 = 12228079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228113) 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 63 ways as a sum of consecutive naturals, for example, 126015 + ... + 126111.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 212228111 is an apocalyptic number.

12228111 is a deficient number, since it is larger than the sum of its proper divisors (10351089).

12228111 is a wasteful number, since it uses less digits than its factorization.

12228111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 12228111 is about 3496.8716018750. The cubic root of 12228111 is about 230.3844295576.

The spelling of 12228111 in words is "twelve million, two hundred twenty-eight thousand, one hundred eleven".

Divisors: 1 3 7 9 21 23 27 29 63 69 87 97 161 189 203 207 261 291 483 609 621 667 679 783 873 1449 1827 2001 2037 2231 2619 2813 4347 4669 5481 6003 6111 6693 8439 14007 15617 18009 18333 19691 20079 25317 42021 46851 59073 60237 64699 75951 126063 140553 177219 194097 421659 452893 531657 582291 1358679 1746873 4076037 12228111