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12228300 = 2233527647
BaseRepresentation
bin101110101001…
…011011001100
3212000021002000
4232221123030
511112301200
61114032300
7205640010
oct56513314
925007060
1012228300
1169a2337
124118690
1326c1ba6
1418a4540
151118300
hexba96cc

12228300 has 144 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2790720.

The previous prime is 12228299. The next prime is 12228311. The reversal of 12228300 is 382221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 18577 + ... + 19223.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 212228300 is an apocalyptic number.

12228300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12228300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

12228300 is an abundant number, since it is smaller than the sum of its proper divisors (32768820).

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

12228300 is a wasteful number, since it uses less digits than its factorization.

12228300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12228300 is about 3496.8986259256. The cubic root of 12228300 is about 230.3856165066.

The spelling of 12228300 in words is "twelve million, two hundred twenty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 647 675 700 756 900 945 1050 1260 1294 1350 1575 1890 1941 2100 2588 2700 3150 3235 3780 3882 4529 4725 5823 6300 6470 7764 9058 9450 9705 11646 12940 13587 16175 17469 18116 18900 19410 22645 23292 27174 29115 32350 34938 38820 40761 45290 48525 54348 58230 64700 67935 69876 81522 87345 90580 97050 113225 116460 122283 135870 145575 163044 174690 194100 203805 226450 244566 271740 291150 339675 349380 407610 436725 452900 489132 582300 611415 679350 815220 873450 1019025 1222830 1358700 1746900 2038050 2445660 3057075 4076100 6114150 12228300