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226363104282 = 237316126310837
BaseRepresentation
bin1101001011010001001…
…0101101110000011010
3210122021122010010212010
43102310102231300122
512202042423314112
6251553442530350
722232326432230
oct3226422556032
9718248103763
10226363104282
1188000086697
1237a546669b6
1318466086573
14ad554d4950
155d4cb4e63c
hex34b44adc1a

226363104282 has 128 divisors (see below), whose sum is σ = 544961691648. Its totient is φ = 61323091200.

The previous prime is 226363104281. The next prime is 226363104293. The reversal of 226363104282 is 282401363622.

226363104282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226363104282.

It is not an unprimeable number, because it can be changed into a prime (226363104281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20882568 + ... + 20893404.

It is an arithmetic number, because the mean of its divisors is an integer number (4257513216).

Almost surely, 2226363104282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226363104282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272480845824).

226363104282 is an abundant number, since it is smaller than the sum of its proper divisors (318598587366).

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

226363104282 is a wasteful number, since it uses less digits than its factorization.

226363104282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 226363104282 in words is "two hundred twenty-six billion, three hundred sixty-three million, one hundred four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 31 42 61 62 93 122 183 186 217 263 366 427 434 526 651 789 854 1281 1302 1578 1841 1891 2562 3682 3782 5523 5673 8153 10837 11046 11346 13237 16043 16306 21674 24459 26474 32086 32511 39711 48129 48918 57071 65022 75859 79422 96258 112301 114142 151718 171213 224602 227577 335947 336903 342426 455154 497333 661057 671894 673806 994666 1007841 1322114 1491999 1983171 2015682 2351629 2850131 2983998 3481331 3966342 4627399 4703258 5700262 6962662 7054887 8550393 9254798 10443993 13882197 14109774 17100786 19950917 20492767 20887986 27764394 39901834 40985534 59852751 61478301 88354061 119705502 122956602 143449369 173857991 176708122 265062183 286898738 347715982 430348107 521573973 530124366 618478427 860696214 1043147946 1217005937 1236956854 1855435281 2434011874 3651017811 3710870562 5389597721 7302035622 10779195442 16168793163 32337586326 37727184047 75454368094 113181552141 226363104282