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226452663276 = 223721376734177
BaseRepresentation
bin1101001011100110100…
…0010110101111101100
3210122111212122012200220
43102321220112233230
512202233340211101
6252010402251340
722234464610200
oct3227150265754
9718455565626
10226452663276
1188046696694
1237a7a656b50
131847b7b2858
14ad63368b00
155d55940636
hex34b9a16bec

226452663276 has 144 divisors (see below), whose sum is σ = 620212201056. Its totient is φ = 64117702656.

The previous prime is 226452663271. The next prime is 226452663319. The reversal of 226452663276 is 672366254622.

It is not an unprimeable number, because it can be changed into a prime (226452663271) 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, 54212100 + ... + 54216276.

It is an arithmetic number, because the mean of its divisors is an integer number (4307029174).

Almost surely, 2226452663276 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 226452663276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310106100528).

226452663276 is an abundant number, since it is smaller than the sum of its proper divisors (393759537780).

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

226452663276 is a wasteful number, since it uses less digits than its factorization.

226452663276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4999 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 51.

The spelling of 226452663276 in words is "two hundred twenty-six billion, four hundred fifty-two million, six hundred sixty-three thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 147 196 274 294 411 548 588 673 822 959 1346 1644 1918 2019 2692 2877 3836 4038 4177 4711 5754 6713 8076 8354 9422 11508 12531 13426 14133 16708 18844 20139 25062 26852 28266 29239 32977 40278 50124 56532 58478 65954 80556 87717 92201 98931 116956 131908 175434 184402 197862 204673 276603 350868 368804 395724 409346 553206 572249 614019 645407 818692 1106412 1144498 1228038 1290814 1716747 1936221 2288996 2456076 2581628 2811121 3433494 3872442 4005743 4517849 5622242 6866988 7744884 8011486 8433363 9035698 11244484 12017229 13553547 16022972 16866726 18071396 19677847 24034458 27107094 28040201 33733452 39355694 48068916 54214188 56080402 59033541 78711388 84120603 112160804 118067082 137744929 168241206 236134164 275489858 336482412 385123577 413234787 550979716 770247154 826469574 1155370731 1540494308 1652939148 2310741462 2695865039 4621482924 5391730078 8087595117 10783460156 16175190234 18871055273 32350380468 37742110546 56613165819 75484221092 113226331638 226452663276