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22022012111220 = 223251143258656473
BaseRepresentation
bin1010000000111011001100…
…01101011000100101110100
32212222021122212222110120100
411000131212031120211310
510341302040100024340
6114500434523034100
74432015663260222
oct500354615304564
985867585873510
1022022012111220
1170205347a6880
12257801b36b930
13c3988904a894
14561c2a321b12
15282c9a585830
hex140766358974

22022012111220 has 144 divisors (see below), whose sum is σ = 74567557576512. Its totient is φ = 5214514475520.

The previous prime is 22022012111123. The next prime is 22022012111233. The reversal of 22022012111220 is 2211121022022.

It is a happy number.

22022012111220 is a `hidden beast` number, since 220 + 2 + 201 + 21 + 1 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22022012111193 and 22022012111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129243097 + ... + 129413376.

It is an arithmetic number, because the mean of its divisors is an integer number (517830260948).

Almost surely, 222022012111220 is an apocalyptic number.

22022012111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022012111220 is an abundant number, since it is smaller than the sum of its proper divisors (52545545465292).

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

22022012111220 is a wasteful number, since it uses less digits than its factorization.

22022012111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258656542 (or 258656537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22022012111220 its reverse (2211121022022), we get a palindrome (24233133133242).

The spelling of 22022012111220 in words is "twenty-two trillion, twenty-two billion, twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 258656473 517312946 775969419 1034625892 1293282365 1551938838 2327908257 2586564730 2845221203 3103877676 3879847095 4655816514 5173129460 5690442406 7759694190 8535663609 9311633028 11122228339 11380884812 11639541285 14226106015 15519388380 17071327218 22244456678 23279082570 25606990827 28452212030 33366685017 34142654436 42678318045 44488913356 46558165140 51213981654 55611141695 56904424060 66733370034 85356636090 100100055051 102427963308 111222283390 122344511729 128034954135 133466740068 166833425085 170713272180 200200110102 222444566780 244689023458 256069908270 333666850170 367033535187 400400220204 489378046916 500500275255 512139816540 611722558645 667333700340 734067070374 1001000550510 1101100605561 1223445117290 1468134140748 1835167675935 2002001101020 2202201211122 2446890234580 3670335351870 4404402422244 5505503027805 7340670703740 11011006055610 22022012111220