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221120002000220 = 2252926912891099499
BaseRepresentation
bin110010010001101110000011…
…001011000000010101011100
31001222220212101010110012222212
4302101232003023000111130
5212440312231003001340
62102141043201255552
764401251532301421
oct6221560313002534
91058825333405885
10221120002000220
11645015145a7174
12209726553345b8
13964c6b027606b
143c8639d9d1d48
151a86c8a8d9a65
hexc91b832c055c

221120002000220 has 96 divisors (see below), whose sum is σ = 482524371000000. Its totient is φ = 85014522349568.

The previous prime is 221120002000207. The next prime is 221120002000237. The reversal of 221120002000220 is 22000200021122.

It is a junction number, because it is equal to n+sod(n) for n = 221120002000195 and 221120002000204.

It is a congruent number.

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, 200560031 + ... + 201659529.

It is an arithmetic number, because the mean of its divisors is an integer number (5026295531250).

Almost surely, 2221120002000220 is an apocalyptic number.

221120002000220 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 221120002000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241262185500000).

221120002000220 is an abundant number, since it is smaller than the sum of its proper divisors (261404368999780).

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

221120002000220 is a wasteful number, since it uses less digits than its factorization.

221120002000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101095 (or 1101093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221120002000220 its reverse (22000200021122), we get a palindrome (243120202021342).

The spelling of 221120002000220 in words is "two hundred twenty-one trillion, one hundred twenty billion, two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1289 1345 2578 2690 5156 5380 6445 7801 12890 15602 25780 31204 37381 39005 74762 78010 149524 156020 186905 346741 373810 693482 747620 1099499 1386964 1733705 2198998 3467410 4397996 5497495 6934820 10055489 10994990 20110978 21989980 31885471 40221956 50277445 63770942 100554890 127541884 159427355 201109780 295765231 318854710 591530462 637709420 1183060924 1417254211 1478826155 2834508422 2957652310 5669016844 5915304620 7086271055 8577191699 14172542110 17154383398 28345084220 34308766796 41100372119 42885958495 82200744238 85771916990 164401488476 171543833980 205501860595 381241382759 411003721190 762482765518 822007442380 1524965531036 1906206913795 3812413827590 7624827655180 11056000100011 22112000200022 44224000400044 55280000500055 110560001000110 221120002000220