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226047400331346 = 23411619405150587
BaseRepresentation
bin110011011001011011000010…
…111111111100100001010010
31002122100220211222201102210000
4303121123002333330201102
5214112030033441100341
62120432424144150430
765420246210122506
oct6331330277744122
91078326758642700
10226047400331346
11660311894972a0
1221429601008416
139919241bb7239
143db6a77008306
151b200293da8b6
hexcd96c2ffc852

226047400331346 has 160 divisors (see below), whose sum is σ = 553600542654720. Its totient is φ = 68370317676000.

The previous prime is 226047400331303. The next prime is 226047400331377. The reversal of 226047400331346 is 643133004740622.

226047400331346 is a `hidden beast` number, since 2 + 2 + 604 + 7 + 4 + 0 + 0 + 3 + 3 + 1 + 34 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4468462665 + ... + 4468513251.

It is an arithmetic number, because the mean of its divisors is an integer number (3460003391592).

Almost surely, 2226047400331346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226047400331346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276800271327360).

226047400331346 is an abundant number, since it is smaller than the sum of its proper divisors (327553142323374).

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

226047400331346 is a wasteful number, since it uses less digits than its factorization.

226047400331346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55282 (or 55273 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 226047400331346 in words is "two hundred twenty-six trillion, forty-seven billion, four hundred million, three hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 619 891 1238 1782 1857 3714 4051 5571 6809 8102 11142 12153 13618 16713 20427 24306 33426 36459 40854 44561 50139 50587 61281 72918 89122 100278 101174 109377 122562 133683 151761 183843 218754 267366 303522 328131 367686 401049 455283 551529 556457 656262 802098 910566 1103058 1112914 1203147 1365849 1669371 2406294 2507569 2731698 3338742 3609441 4097547 5008113 5015138 7218882 7522707 8195094 10016226 15024339 15045414 22568121 27583259 30048678 31313353 45073017 45136242 55166518 62626706 67704363 82749777 90146034 93940059 135408726 165499554 187880118 203113089 204927937 248249331 281820177 344446883 406226178 409855874 496498662 563640354 614783811 688893766 744747993 845460531 1033340649 1229567622 1489495986 1690921062 1844351433 2066681298 2234243979 2254207307 2536381593 3100021947 3688702866 4468487958 4508414614 5072763186 5533054299 6200043894 6762621921 9300065841 11066108598 13525243842 16599162897 18600131682 20287865763 27900197523 33198325794 40575731526 55800395046 60863597289 121727194578 126850393003 182590791867 253700786006 365181583734 380551179009 761102358018 1141653537027 1395354323033 2283307074054 2790708646066 3424960611081 4186062969099 6849921222162 8372125938198 10274881833243 12558188907297 20549763666486 25116377814594 37674566721891 75349133443782 113023700165673 226047400331346