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226021214654226 = 2321917320011190901
BaseRepresentation
bin110011011001000010101010…
…001101100000111100010010
31002122021102021001202012201200
4303121002222031200330102
5214111112421422413401
62120412413530212030
765415331254415515
oct6331025215407422
91078242231665650
10226021214654226
1166021071347522
1221424513584016
13991692ab32934
143db56b13bcd7c
151b1e4e55ab686
hexcd90aa360f12

226021214654226 has 96 divisors (see below), whose sum is σ = 518495299433280. Its totient is φ = 70958629584000.

The previous prime is 226021214654189. The next prime is 226021214654227. The reversal of 226021214654226 is 622456412120622.

226021214654226 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 2 + 1 + 214 + 6 + 5 + 422 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (226021214654227) 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, 1183875376 + ... + 1184066276.

It is an arithmetic number, because the mean of its divisors is an integer number (5400992702430).

Almost surely, 2226021214654226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226021214654226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259247649716640).

226021214654226 is an abundant number, since it is smaller than the sum of its proper divisors (292474084779054).

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

226021214654226 is a wasteful number, since it uses less digits than its factorization.

226021214654226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211112 (or 211109 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 226021214654226 its reverse (622456412120622), we get a palindrome (848477626774848).

The spelling of 226021214654226 in words is "two hundred twenty-six trillion, twenty-one billion, two hundred fourteen million, six hundred fifty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 173 342 346 519 1038 1557 3114 3287 6574 9861 19722 20011 29583 40022 59166 60033 120066 180099 190901 360198 380209 381802 572703 760418 1140627 1145406 1718109 2281254 3421881 3436218 3461903 3627119 6843762 6923806 7254238 10385709 10881357 20771418 21762714 31157127 32644071 33025873 62314254 65288142 65776157 66051746 99077619 131552314 197328471 198155238 297232857 394656942 591985413 594465714 627491587 1183970826 1254983174 1882474761 3764949522 3820119911 5647424283 7640239822 11294848566 11460359733 22920719466 34381079199 68762158398 72582278309 145164556618 217746834927 435493669854 653240504781 660880744603 1306481009562 1321761489206 1982642233809 3965284467618 5947926701427 11895853402854 12556734147457 25113468294914 37670202442371 75340404884742 113010607327113 226021214654226