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22105345212 = 223231591132971
BaseRepresentation
bin10100100101100101…
…001100110010111100
32010001120002212221100
4110211211030302330
5330232432021322
614053254133100
71411535222406
oct244545146274
963046085840
1022105345212
119413989045
12434b051190
132113917732
1410d9b63b76
158959dbdac
hex52594ccbc

22105345212 has 144 divisors (see below), whose sum is σ = 59196533760. Its totient is φ = 6945523200.

The previous prime is 22105345193. The next prime is 22105345217. The reversal of 22105345212 is 21254350122.

22105345212 is a `hidden beast` number, since 2 + 2 + 105 + 34 + 521 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105345217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7438887 + ... + 7441857.

It is an arithmetic number, because the mean of its divisors is an integer number (411087040).

Almost surely, 222105345212 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 22105345212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29598266880).

22105345212 is an abundant number, since it is smaller than the sum of its proper divisors (37091188548).

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

22105345212 is a wasteful number, since it uses less digits than its factorization.

22105345212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22105345212 its reverse (21254350122), we get a palindrome (43359695334).

The spelling of 22105345212 in words is "twenty-two billion, one hundred five million, three hundred forty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 113 118 124 177 186 226 236 279 339 354 372 452 531 558 678 708 1017 1062 1116 1356 1829 2034 2124 2971 3503 3658 4068 5487 5942 6667 7006 7316 8913 10509 10974 11884 13334 14012 16461 17826 20001 21018 21948 26668 26739 31527 32922 35652 40002 42036 53478 60003 63054 65844 80004 92101 106956 120006 126108 175289 184202 206677 240012 276303 335723 350578 368404 413354 525867 552606 620031 671446 701156 826708 828909 1007169 1051734 1105212 1240062 1342892 1577601 1657818 1860093 2014338 2103468 2480124 3021507 3155202 3315636 3720186 4028676 5433959 6043014 6310404 7440372 10407413 10867918 12086028 16301877 19807657 20814826 21735836 31222239 32603754 39615314 41629652 48905631 59422971 62444478 65207508 79230628 93666717 97811262 118845942 124888956 178268913 187333434 195622524 237691884 356537826 374666868 614037367 713075652 1228074734 1842112101 2456149468 3684224202 5526336303 7368448404 11052672606 22105345212