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22124322012 = 223132233311433
BaseRepresentation
bin10100100110101101…
…100101110011011100
32010002212211000012210
4110212231211303130
5330302311301022
614055213000420
71412155430352
oct244655456334
963085730183
1022124322012
11942366a651
124355483110
132117830200
1410dc4a37d2
158974d9a0c
hex526b65cdc

22124322012 has 144 divisors (see below), whose sum is σ = 58547397888. Its totient is φ = 6487303680.

The previous prime is 22124322007. The next prime is 22124322047. The reversal of 22124322012 is 21022342122.

It is a self number, because there is not a number n which added to its sum of digits gives 22124322012.

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 47 ways as a sum of consecutive naturals, for example, 15438448 + ... + 15439880.

It is an arithmetic number, because the mean of its divisors is an integer number (406579152).

Almost surely, 222124322012 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 22124322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29273698944).

22124322012 is an abundant number, since it is smaller than the sum of its proper divisors (36423075876).

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

22124322012 is a wasteful number, since it uses less digits than its factorization.

22124322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22124322012 its reverse (21022342122), we get a palindrome (43146664134).

The spelling of 22124322012 in words is "twenty-two billion, one hundred twenty-four million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 331 338 507 598 662 676 897 993 1014 1196 1324 1433 1794 1986 2028 2866 3588 3887 3972 4299 4303 5732 7613 7774 8598 8606 11661 12909 15226 15548 17196 17212 18629 22839 23322 25818 30452 32959 37258 45678 46644 51636 55887 55939 65918 74516 91356 98877 98969 111774 111878 131836 167817 197754 197938 223548 223756 242177 296907 335634 395508 395876 428467 474323 484354 593814 671268 726531 856934 948646 968708 1187628 1285401 1286597 1422969 1453062 1713868 1897292 2570802 2573194 2845938 2906124 3859791 5141604 5146388 5570071 5691876 6166199 7719582 10909429 11140142 12332398 15439164 16710213 18498597 21818858 22280284 24664796 32728287 33420426 36997194 43637716 65456574 66840852 73994388 80160587 130913148 141822577 160321174 240481761 283645154 320642348 425467731 480963522 567290308 850935462 961927044 1701870924 1843693501 3687387002 5531080503 7374774004 11062161006 22124322012