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12228291 = 3231411069
BaseRepresentation
bin101110101001…
…011011000011
3212000021001200
4232221123003
511112301131
61114032243
7205636665
oct56513303
925007050
1012228291
1169a2329
124118683
1326c1b9a
1418a4535
1511182e6
hexba96c3

12228291 has 24 divisors (see below), whose sum is σ = 18695040. Its totient is φ = 7689600.

The previous prime is 12228289. The next prime is 12228299. The reversal of 12228291 is 19282221.

It is not a de Polignac number, because 12228291 - 21 = 12228289 is a prime.

It is a super-3 number, since 3×122282913 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12228299) 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, 10905 + ... + 11973.

It is an arithmetic number, because the mean of its divisors is an integer number (778960).

Almost surely, 212228291 is an apocalyptic number.

12228291 is a deficient number, since it is larger than the sum of its proper divisors (6466749).

12228291 is a wasteful number, since it uses less digits than its factorization.

12228291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 12228291 is about 3496.8973390707. The cubic root of 12228291 is about 230.3855599855.

The spelling of 12228291 in words is "twelve million, two hundred twenty-eight thousand, two hundred ninety-one".

Divisors: 1 3 9 31 41 93 123 279 369 1069 1271 3207 3813 9621 11439 33139 43829 99417 131487 298251 394461 1358699 4076097 12228291