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22864798341 = 3471119238389
BaseRepresentation
bin10101010010110110…
…010010001010000101
32012000111011002210000
4111102312102022011
5333311342021331
614300503551513
71436416402440
oct252266221205
965014132700
1022864798341
119773645460
12452145b599
132205071b98
14116c976657
158dc5050e6
hex552d92285

22864798341 has 160 divisors (see below), whose sum is σ = 46779955200. Its totient is φ = 10762139520.

The previous prime is 22864798339. The next prime is 22864798361. The reversal of 22864798341 is 14389746822.

22864798341 is a `hidden beast` number, since 228 + 6 + 4 + 79 + 8 + 341 = 666.

It is not a de Polignac number, because 22864798341 - 21 = 22864798339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22864798331) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2721375 + ... + 2729763.

It is an arithmetic number, because the mean of its divisors is an integer number (292374720).

Almost surely, 222864798341 is an apocalyptic number.

22864798341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22864798341 is an abundant number, since it is smaller than the sum of its proper divisors (23915156859).

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

22864798341 is a wasteful number, since it uses less digits than its factorization.

22864798341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8452 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 22864798341 in words is "twenty-two billion, eight hundred sixty-four million, seven hundred ninety-eight thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 19 21 23 27 33 57 63 69 77 81 99 133 161 171 189 207 209 231 253 297 399 437 483 513 567 621 627 693 759 891 1197 1311 1449 1463 1539 1771 1863 1881 2079 2277 3059 3591 3933 4347 4389 4807 5313 5643 6237 6831 8389 9177 10773 11799 13041 13167 14421 15939 16929 20493 25167 27531 33649 35397 39501 43263 47817 58723 75501 82593 92279 100947 118503 129789 143451 159391 176169 192947 226503 247779 276837 302841 389367 478173 528507 578841 645953 679509 830511 908523 1115737 1350629 1434519 1585521 1736523 1753301 1937859 2122417 2491533 2725569 3347211 3665993 4051887 4303557 4756563 5209569 5259903 5813577 6367251 7474599 10041633 10997979 12155661 12273107 12910671 14856919 15628707 15779709 17440731 19101753 25661951 30124899 32993937 36466983 36819321 40325923 44570757 47339127 52322193 57305259 76985853 90374697 98981811 109400949 110457963 120977769 133712271 142017381 171915777 230957559 282281461 296945433 331373889 362933307 401136813 692872677 846844383 994121667 1088799921 1203410439 2078618031 2540533149 3266399763 7621599447 22864798341