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12228930 = 2325724759
BaseRepresentation
bin101110101001…
…100101000010
3212000021221100
4232221211002
511112311210
61114035230
7205641600
oct56514502
925007840
1012228930
1169a285a
124118b16
1326c226c
1418a4870
1511185c0
hexba9942

12228930 has 144 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 2689344.

The previous prime is 12228929. The next prime is 12228991. The reversal of 12228930 is 3982221.

It is a happy number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12228894 and 12228903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207241 + ... + 207299.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 212228930 is an apocalyptic number.

12228930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12228930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

12228930 is an abundant number, since it is smaller than the sum of its proper divisors (26184510).

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

12228930 is a wasteful number, since it uses less digits than its factorization.

12228930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12228930 is about 3496.9887045857. The cubic root of 12228930 is about 230.3895729150.

The spelling of 12228930 in words is "twelve million, two hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 49 59 63 70 90 94 98 105 118 126 141 147 177 210 235 245 282 294 295 315 329 354 413 423 441 470 490 531 590 630 658 705 735 826 846 882 885 987 1062 1239 1410 1470 1645 1770 1974 2065 2115 2205 2303 2478 2655 2773 2891 2961 3290 3717 4130 4230 4410 4606 4935 5310 5546 5782 5922 6195 6909 7434 8319 8673 9870 11515 12390 13818 13865 14455 14805 16638 17346 18585 19411 20727 23030 24957 26019 27730 28910 29610 34545 37170 38822 41454 41595 43365 49914 52038 58233 69090 83190 86730 97055 103635 116466 124785 130095 135877 174699 194110 207270 249570 260190 271754 291165 349398 407631 582330 679385 815262 873495 1222893 1358770 1746990 2038155 2445786 4076310 6114465 12228930