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12229686 = 2327312101
BaseRepresentation
bin101110101001…
…110000110110
3212000022222100
4232221300312
511112322221
61114042530
7205644030
oct56516066
925008870
1012229686
1169a3387
124119446
1326c2701
1418a4c50
151118926
hexba9c36

12229686 has 72 divisors (see below), whose sum is σ = 31601232. Its totient is φ = 3348000.

The previous prime is 12229669. The next prime is 12229699. The reversal of 12229686 is 68692221.

It is a happy number.

Its product of digits (20736) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12229686.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 121036 + ... + 121136.

It is an arithmetic number, because the mean of its divisors is an integer number (438906).

Almost surely, 212229686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12229686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800616).

12229686 is an abundant number, since it is smaller than the sum of its proper divisors (19371546).

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

12229686 is a wasteful number, since it uses less digits than its factorization.

12229686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12229686 is about 3497.0967959151. The cubic root of 12229686 is about 230.3943204257.

The spelling of 12229686 in words is "twelve million, two hundred twenty-nine thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 101 126 186 202 217 279 303 434 558 606 651 707 909 961 1302 1414 1818 1922 1953 2121 2883 3131 3906 4242 5766 6262 6363 6727 8649 9393 12726 13454 17298 18786 20181 21917 28179 40362 43834 56358 60543 65751 97061 121086 131502 194122 197253 291183 394506 582366 679427 873549 1358854 1747098 2038281 4076562 6114843 12229686