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22190217705 = 345197339503
BaseRepresentation
bin10100101010101000…
…111101100111101001
32010021110210212010000
4110222220331213221
5330421143431310
614105525213213
71413615511155
oct245250754751
963243725100
1022190217705
119457887aa7
124373561209
132128392846
141107138065
1589d1a44c0
hex52aa3d9e9

22190217705 has 80 divisors (see below), whose sum is σ = 42446257920. Its totient is φ = 11058031872.

The previous prime is 22190217697. The next prime is 22190217713. The reversal of 22190217705 is 50771209122.

It is an interprime number because it is at equal distance from previous prime (22190217697) and next prime (22190217713).

It is not a de Polignac number, because 22190217705 - 23 = 22190217697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22190217705.

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 79 ways as a sum of consecutive naturals, for example, 541984 + ... + 581486.

It is an arithmetic number, because the mean of its divisors is an integer number (530578224).

Almost surely, 222190217705 is an apocalyptic number.

It is an amenable number.

22190217705 is a deficient number, since it is larger than the sum of its proper divisors (20256040215).

22190217705 is a wasteful number, since it uses less digits than its factorization.

22190217705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39612 (or 39603 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 22190217705 in words is "twenty-two billion, one hundred ninety million, two hundred seventeen thousand, seven hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 73 81 95 135 171 219 285 365 405 513 657 855 1095 1387 1539 1971 2565 3285 4161 5913 6935 7695 9855 12483 20805 29565 37449 39503 62415 112347 118509 187245 197515 355527 561735 592545 750557 1066581 1777635 2251671 2883719 3199743 3752785 5332905 6755013 8651157 11258355 14418595 15998715 20265039 25953471 33775065 43255785 54790661 60795117 77860413 101325195 129767355 164371983 233581239 273953305 303975585 389302065 493115949 821859915 1167906195 1479347847 2465579745 4438043541 7396739235 22190217705