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22110101220 = 223510727712433
BaseRepresentation
bin10100100101110111…
…010101111011100100
32010001220001111221210
4110211313111323210
5330240141214340
614053544111420
71411623521334
oct244567257344
963056044853
1022110101220
119416637329
124350765570
1321148c143c
1410da6410c4
1589612b180
hex525dd5ee4

22110101220 has 96 divisors (see below), whose sum is σ = 62717493888. Its totient is φ = 5819369472.

The previous prime is 22110101197. The next prime is 22110101239. The reversal of 22110101220 is 2210101122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22110101196 and 22110101205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772124 + ... + 1784556.

It is an arithmetic number, because the mean of its divisors is an integer number (653307228).

Almost surely, 222110101220 is an apocalyptic number.

22110101220 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 22110101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31358746944).

22110101220 is an abundant number, since it is smaller than the sum of its proper divisors (40607392668).

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

22110101220 is a wasteful number, since it uses less digits than its factorization.

22110101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22110101220 its reverse (2210101122), we get a palindrome (24320202342).

The spelling of 22110101220 in words is "twenty-two billion, one hundred ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 277 321 428 535 554 642 831 1070 1108 1284 1385 1605 1662 2140 2770 3210 3324 4155 5540 6420 8310 12433 16620 24866 29639 37299 49732 59278 62165 74598 88917 118556 124330 148195 149196 177834 186495 248660 296390 355668 372990 444585 592780 745980 889170 1330331 1778340 2660662 3443941 3990993 5321324 6651655 6887882 7981986 10331823 13303310 13775764 15963972 17219705 19954965 20663646 26606620 34439410 39909930 41327292 51659115 68878820 79819860 103318230 206636460 368501687 737003374 1105505061 1474006748 1842508435 2211010122 3685016870 4422020244 5527525305 7370033740 11055050610 22110101220