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220020222221010 = 232571133992569741
BaseRepresentation
bin110010000001101101110011…
…001100000101101011010010
31001212000201122120202211101200
4302001231303030011223102
5212314302403342033020
62055535521132012030
764225636133360121
oct6201556314055322
91055021576684350
10220020222221010
116411806358a332
1220815487301016
13959ca82cb4b63
143c4906d891ab8
151a6836e439590
hexc81b73305ad2

220020222221010 has 96 divisors (see below), whose sum is σ = 580153177094400. Its totient is φ = 57841352553600.

The previous prime is 220020222220951. The next prime is 220020222221047. The reversal of 220020222221010 is 10122222020022.

220020222221010 is a `hidden beast` number, since 2 + 20 + 0 + 202 + 222 + 210 + 10 = 666.

It is a super-3 number, since 3×2200202222210103 (a number of 44 digits) contains 333 as substring.

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

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, 84334740 + ... + 86904480.

It is an arithmetic number, because the mean of its divisors is an integer number (6043262261400).

Almost surely, 2220020222221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020222221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290076588547200).

220020222221010 is an abundant number, since it is smaller than the sum of its proper divisors (360132954873390).

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

220020222221010 is a wasteful number, since it uses less digits than its factorization.

220020222221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583224 (or 2583221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220020222221010 its reverse (10122222020022), we get a palindrome (230142444241032).

The spelling of 220020222221010 in words is "two hundred twenty trillion, twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 13399 26798 40197 66995 80394 120591 133990 200985 241182 401970 602955 951329 1205910 1902658 2569741 2853987 4756645 5139482 5707974 7709223 8561961 9513290 12848705 14269935 15418446 17123922 23127669 25697410 28539870 38546115 42809805 46255338 77092230 85619610 115638345 182451611 231276690 364903222 547354833 912258055 1094709666 1642064499 1824516110 2736774165 3284128998 5473548330 8210322495 16420644990 34431959659 68863919318 103295878977 172159798295 206591757954 309887636931 344319596590 516479394885 619775273862 1032958789770 1549438184655 2444669135789 3098876369310 4889338271578 7334007407367 12223345678945 14668014814734 22002022222101 24446691357890 36670037036835 44004044444202 73340074073670 110010111110505 220020222221010