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112226386188 = 22372735934409
BaseRepresentation
bin110100010000100110…
…1101100000100001100
3101201200020202010001210
41220201031230010030
53314314423324223
6123320040534420
711052034354200
oct1504115540414
9351606663053
10112226386188
114365a961aa4
1219900481410
13a776839697
145608b6cb00
152dbc7c7893
hex1a2136c10c

112226386188 has 144 divisors (see below), whose sum is σ = 309378152160. Its totient is φ = 31564947456.

The previous prime is 112226386183. The next prime is 112226386199. The reversal of 112226386188 is 881683622211.

It is not an unprimeable number, because it can be changed into a prime (112226386183) 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, 25451728 + ... + 25456136.

It is an arithmetic number, because the mean of its divisors is an integer number (2148459390).

Almost surely, 2112226386188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112226386188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154689076080).

112226386188 is an abundant number, since it is smaller than the sum of its proper divisors (197151765972).

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

112226386188 is a wasteful number, since it uses less digits than its factorization.

112226386188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5087 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The spelling of 112226386188 in words is "one hundred twelve billion, two hundred twenty-six million, three hundred eighty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 593 876 1022 1186 1533 1779 2044 2372 3066 3558 3577 4151 4409 6132 7116 7154 8302 8818 10731 12453 13227 14308 16604 17636 21462 24906 26454 29057 30863 42924 43289 49812 52908 58114 61726 86578 87171 92589 116228 123452 129867 173156 174342 185178 216041 259734 303023 321857 348684 370356 432082 519468 606046 643714 648123 864164 909069 965571 1212092 1287428 1296246 1818138 1931142 2121161 2252999 2592492 2614537 3636276 3862284 4242322 4505998 5229074 6363483 6758997 7843611 8484644 9011996 10458148 12726966 13517994 15687222 15770993 18301759 25453932 27035988 31374444 31541986 36603518 47312979 54905277 63083972 73207036 94625958 109810554 128112313 189251916 190861201 219621108 256224626 381722402 384336939 512449252 572583603 763444804 768673878 1145167206 1336028407 1537347756 2290334412 2672056814 4008085221 5344113628 8016170442 9352198849 16032340884 18704397698 28056596547 37408795396 56113193094 112226386188