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22021110122220 = 223251154792029891
BaseRepresentation
bin1010000000111001100000…
…11100100100011011101100
32212222012100000201200021100
411000130300130210123230
510341243213142402340
6114500205222203100
74431654431425536
oct500346034443354
985865300650240
1022021110122220
117020111636120
122577a09283490
13c39774208a91
14561b82608856
15282c462b4830
hex1407307246ec

22021110122220 has 144 divisors (see below), whose sum is σ = 72883191064320. Its totient is φ = 5337473961600.

The previous prime is 22021110122183. The next prime is 22021110122251. The reversal of 22021110122220 is 2222101112022.

It is a happy number.

22021110122220 is a `hidden beast` number, since 220 + 211 + 1 + 0 + 12 + 2 + 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 = 22021110122193 and 22021110122202.

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, 9833475 + ... + 11863365.

It is an arithmetic number, because the mean of its divisors is an integer number (506133271280).

Almost surely, 222021110122220 is an apocalyptic number.

22021110122220 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 22021110122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36441595532160).

22021110122220 is an abundant number, since it is smaller than the sum of its proper divisors (50862080942100).

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

22021110122220 is a wasteful number, since it uses less digits than its factorization.

22021110122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035396 (or 2035391 counting only the distinct ones).

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

Adding to 22021110122220 its reverse (2222101112022), we get a palindrome (24243211234242).

The spelling of 22021110122220 in words is "twenty-two trillion, twenty-one billion, one hundred ten million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5479 10958 16437 21916 27395 32874 49311 54790 60269 65748 82185 98622 109580 120538 164370 180807 197244 241076 246555 301345 328740 361614 493110 542421 602690 723228 904035 986220 1084842 1205380 1808070 2029891 2169684 2712105 3616140 4059782 5424210 6089673 8119564 10149455 10848420 12179346 18269019 20298910 22328801 24358692 30448365 36538038 40597820 44657602 60896730 66986403 73076076 89315204 91345095 111644005 121793460 133972806 182690190 200959209 223288010 267945612 334932015 365380380 401918418 446576020 669864030 803836836 1004796045 1339728060 2009592090 4019184180 11121772789 22243545578 33365318367 44487091156 55608863945 66730636734 100095955101 111217727890 122339500679 133461273468 166826591835 200191910202 222435455780 244679001358 333653183670 367018502037 400383820404 489358002716 500479775505 611697503395 667306367340 734037004074 1000959551010 1101055506111 1223395006790 1468074008148 1835092510185 2001919102020 2202111012222 2446790013580 3670185020370 4404222024444 5505277530555 7340370040740 11010555061110 22021110122220