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221211210220 = 2257112131004501
BaseRepresentation
bin1100111000000100110…
…1110011000111101100
3210010222120220210210221
43032001031303013230
512111020032211340
6245342323541124
721660551156020
oct3160115630754
9703876823727
10221211210220
11858a6a63400
1236a5722a7a4
1317b24914940
14a9c71b4380
155b4a6e244a
hex33813731ec

221211210220 has 144 divisors (see below), whose sum is σ = 628448595264. Its totient is φ = 63645120000.

The previous prime is 221211210203. The next prime is 221211210247. The reversal of 221211210220 is 22012112122.

It is a happy number.

221211210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221211210194 and 221211210203.

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, 282031 + ... + 722470.

It is an arithmetic number, because the mean of its divisors is an integer number (4364226356).

Almost surely, 2221211210220 is an apocalyptic number.

221211210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211210220 is an abundant number, since it is smaller than the sum of its proper divisors (407237385044).

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

221211210220 is a wasteful number, since it uses less digits than its factorization.

221211210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004552 (or 1004539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221211210220 its reverse (22012112122), we get a palindrome (243223322342).

It can be divided in two parts, 2212112102 and 20, that added together give a palindrome (2212112122).

The spelling of 221211210220 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 1004501 2009002 4018004 5022505 7031507 10045010 11049511 13058513 14063014 20090020 22099022 26117026 28126028 35157535 44198044 52234052 55247555 65292565 70315070 77346577 91409591 110495110 121544621 130585130 140630140 143643643 154693154 182819182 220990220 243089242 261170260 287287286 309386308 365638364 386732885 457047955 486178484 574574572 607723105 718218215 773465770 850812347 914095910 1005505501 1215446210 1436436430 1546931540 1580080073 1701624694 1828191820 2011011002 2430892420 2872872860 3160160146 3403249388 4022022004 4254061735 5027527505 6320320292 7900400365 8508123470 10055055010 11060560511 15800800730 17016246940 20110110020 22121121022 31601601460 44242242044 55302802555 110605605110 221211210220