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12263227020 = 223251113147279
BaseRepresentation
bin10110110101111000…
…11111111010001100
31011122122102110221100
423122330133322030
5200103341231040
65344511303100
7612615465312
oct133274377214
934578373840
1012263227020
1152232a9a70
122462b1aa90
131205858865
1484497c0b2
154bb918b30
hex2daf1fe8c

12263227020 has 144 divisors (see below), whose sum is σ = 40890769920. Its totient is φ = 2950147200.

The previous prime is 12263226971. The next prime is 12263227021. The reversal of 12263227020 is 2072236221.

12263227020 is a `hidden beast` number, since 1 + 2 + 2 + 632 + 2 + 7 + 0 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (12263227021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235741 + ... + 283019.

It is an arithmetic number, because the mean of its divisors is an integer number (283963680).

Almost surely, 212263227020 is an apocalyptic number.

12263227020 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 12263227020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445384960).

12263227020 is an abundant number, since it is smaller than the sum of its proper divisors (28627542900).

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

12263227020 is a wasteful number, since it uses less digits than its factorization.

12263227020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47436 (or 47431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 12263227020 in words is "twelve billion, two hundred sixty-three million, two hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 131 132 165 180 198 220 262 330 393 396 495 524 655 660 786 990 1179 1310 1441 1572 1965 1980 2358 2620 2882 3930 4323 4716 5764 5895 7205 7860 8646 11790 12969 14410 17292 21615 23580 25938 28820 43230 47279 51876 64845 86460 94558 129690 141837 189116 236395 259380 283674 425511 472790 520069 567348 709185 851022 945580 1040138 1418370 1560207 1702044 2080276 2127555 2600345 2836740 3120414 4255110 4680621 5200690 6193549 6240828 7801035 8510220 9361242 10401380 12387098 15602070 18580647 18722484 23403105 24774196 30967745 31204140 37161294 46806210 55741941 61935490 68129039 74322588 92903235 93612420 111483882 123870980 136258078 185806470 204387117 222967764 272516156 278709705 340645195 371612940 408774234 557419410 613161351 681290390 817548468 1021935585 1114838820 1226322702 1362580780 2043871170 2452645404 3065806755 4087742340 6131613510 12263227020