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22628097520 = 24571713991699
BaseRepresentation
bin10101000100101111…
…010101110111110000
32011101222202110021221
4111010233111313300
5332320243110040
614221210354424
71430513440540
oct250457256760
964358673257
1022628097520
119661a75646
12447612ba14
132198007922
14114935d320
158c684b74a
hex544bd5df0

22628097520 has 160 divisors (see below), whose sum is σ = 63745920000. Its totient is φ = 7292325888.

The previous prime is 22628097517. The next prime is 22628097553. The reversal of 22628097520 is 2579082622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13317631 + ... + 13319329.

It is an arithmetic number, because the mean of its divisors is an integer number (398412000).

Almost surely, 222628097520 is an apocalyptic number.

22628097520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22628097520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960000).

22628097520 is an abundant number, since it is smaller than the sum of its proper divisors (41117822480).

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

22628097520 is a wasteful number, since it uses less digits than its factorization.

22628097520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 22628097520 in words is "twenty-two billion, six hundred twenty-eight million, ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1399 1699 1904 2380 2798 3398 4760 5596 6796 6995 8495 9520 9793 11192 11893 13592 13990 16990 19586 22384 23783 23786 27184 27980 28883 33980 39172 47566 47572 48965 55960 57766 59465 67960 78344 95132 95144 97930 111920 115532 118915 118930 135920 144415 156688 166481 190264 190288 195860 202181 231064 237830 237860 288830 332962 380528 391720 404362 462128 475660 475720 577660 665924 783440 808724 832405 951320 951440 1010905 1155320 1331848 1617448 1664810 1902640 2021810 2310640 2376901 2663696 3234896 3329620 4043620 4753802 6659240 8087240 9507604 11884505 13318480 16174480 16638307 19015208 23769010 33276614 38030416 40407317 47538020 66553228 80814634 83191535 95076040 133106456 161629268 166383070 190152080 202036585 266212912 282851219 323258536 332766140 404073170 565702438 646517072 665532280 808146340 1131404876 1331064560 1414256095 1616292680 2262809752 2828512190 3232585360 4525619504 5657024380 11314048760 22628097520