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21222133340220 = 223252333131616651
BaseRepresentation
bin1001101001101001010011…
…01110000001100000111100
32210010211000221221210111200
410310310221232001200330
510240200412113341340
6113045151413015500
74320151151015421
oct464645156014074
983124027853450
1021222133340220
11684229001323a
122468ba9624590
13bac314238657
1453522a115d48
1526c082c3d330
hex134d29b8183c

21222133340220 has 144 divisors (see below), whose sum is σ = 64856676804192. Its totient is φ = 5616940492800.

The previous prime is 21222133340207. The next prime is 21222133340227. The reversal of 21222133340220 is 2204333122212.

21222133340220 is a `hidden beast` number, since 2 + 1 + 2 + 221 + 3 + 33 + 402 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222133340227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12318895 + ... + 13935545.

It is an arithmetic number, because the mean of its divisors is an integer number (450393588918).

Almost surely, 221222133340220 is an apocalyptic number.

21222133340220 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 21222133340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32428338402096).

21222133340220 is an abundant number, since it is smaller than the sum of its proper divisors (43634543463972).

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

21222133340220 is a wasteful number, since it uses less digits than its factorization.

21222133340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617212 (or 1617207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21222133340220 its reverse (2204333122212), we get a palindrome (23426466462432).

The spelling of 21222133340220 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred thirty-three million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 313 466 626 699 932 939 1165 1252 1398 1565 1878 2097 2330 2796 2817 3130 3495 3756 4194 4660 4695 5634 6260 6990 8388 9390 10485 11268 13980 14085 18780 20970 28170 41940 56340 72929 145858 218787 291716 364645 437574 656361 729290 875148 1093935 1312722 1458580 1616651 2187870 2625444 3233302 3281805 4375740 4849953 6466604 6563610 8083255 9699906 13127220 14549859 16166510 19399812 24249765 29099718 32333020 48499530 58199436 72749295 96999060 145498590 290997180 376679683 506011763 753359366 1012023526 1130039049 1506718732 1518035289 1883398415 2024047052 2260078098 2530058815 3036070578 3390117147 3766796830 4520156196 4554105867 5060117630 5650195245 6072141156 6780234294 7533593660 7590176445 9108211734 10120235260 11300390490 13560468588 15180352890 16950585735 18216423468 22600780980 22770529335 30360705780 33901171470 45541058670 67802342940 91082117340 117900740779 235801481558 353702222337 471602963116 589503703895 707404444674 1061106667011 1179007407790 1414808889348 1768511111685 2122213334022 2358014815580 3537022223370 4244426668044 5305533335055 7074044446740 10611066670110 21222133340220