Search a number
-
+
226078749293712 = 24374159278153543
BaseRepresentation
bin110011011001111000001111…
…100010101111110010010000
31002122110220202202022201122020
4303121320033202233302100
5214113033234304344322
62120455051005211440
765422436106655320
oct6331701742576220
91078426682281566
10226078749293712
116604350612a757
12214336ab860b80
13991c19989b303
143db83ac67b280
151b20c6167705c
hexcd9e0f8afc90

226078749293712 has 160 divisors (see below), whose sum is σ = 695339355432960. Its totient is φ = 61950356874240.

The previous prime is 226078749293699. The next prime is 226078749293767. The reversal of 226078749293712 is 217392947870622.

It is a super-2 number, since 2×2260787492937122 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138263988 + ... + 139889555.

It is an arithmetic number, because the mean of its divisors is an integer number (4345870971456).

Almost surely, 2226078749293712 is an apocalyptic number.

It is an amenable number.

226078749293712 is an abundant number, since it is smaller than the sum of its proper divisors (469260606139248).

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

226078749293712 is a wasteful number, since it uses less digits than its factorization.

226078749293712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278153661 (or 278153655 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 226078749293712 in words is "two hundred twenty-six trillion, seventy-eight billion, seven hundred forty-nine million, two hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 59 82 84 112 118 123 164 168 177 236 246 287 328 336 354 413 472 492 574 656 708 826 861 944 984 1148 1239 1416 1652 1722 1968 2296 2419 2478 2832 3304 3444 4592 4838 4956 6608 6888 7257 9676 9912 13776 14514 16933 19352 19824 29028 33866 38704 50799 58056 67732 101598 116112 135464 203196 270928 406392 812784 278153543 556307086 834460629 1112614172 1668921258 1947074801 2225228344 3337842516 3894149602 4450456688 5841224403 6675685032 7788299204 11404295263 11682448806 13351370064 15576598408 16411059037 22808590526 23364897612 31153196816 32822118074 34212885789 45617181052 46729795224 49233177111 65644236148 68425771578 79830066841 91234362104 93459590448 98466354222 114877413259 131288472296 136851543156 159660133682 182468724208 196932708444 229754826518 239490200523 262576944592 273703086312 319320267364 344632239777 393865416888 459509653036 478980401046 547406172624 638640534728 672853420517 689264479554 787730833776 919019306072 957960802092 1277281069456 1345706841034 1378528959108 1838038612144 1915921604184 2018560261551 2691413682068 2757057918216 3831843208368 4037120523102 4709973943619 5382827364136 5514115836432 8074241046204 9419947887238 10765654728272 14129921830857 16148482092408 18839895774476 28259843661714 32296964184816 37679791548952 56519687323428 75359583097904 113039374646856 226078749293712