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22001122000220 = 22511891915882999
BaseRepresentation
bin1010000000010100010010…
…00011111011110101011100
32212220021202000112212120112
411000022021003323311130
510340431244213001340
6114443101555305152
74430346212252426
oct500121103736534
985807660485515
1022001122000220
11701269488a230
122573b6b2ab1b8
13c3790a12c75c
14560c07b35816
152824765e3065
hex1402890fbd5c

22001122000220 has 96 divisors (see below), whose sum is σ = 51235752960000. Its totient is φ = 7869098124800.

The previous prime is 22001122000159. The next prime is 22001122000229. The reversal of 22001122000220 is 2200022110022.

It is a junction number, because it is equal to n+sod(n) for n = 22001122000195 and 22001122000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001122000229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798281 + ... + 6681279.

It is an arithmetic number, because the mean of its divisors is an integer number (533705760000).

Almost surely, 222001122000220 is an apocalyptic number.

22001122000220 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 22001122000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25617876480000).

22001122000220 is an abundant number, since it is smaller than the sum of its proper divisors (29234630959780).

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

22001122000220 is a wasteful number, since it uses less digits than its factorization.

22001122000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883299 (or 5883297 counting only the distinct ones).

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

Adding to 22001122000220 its reverse (2200022110022), we get a palindrome (24201144110242).

The spelling of 22001122000220 in words is "twenty-two trillion, one billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 191 220 356 382 445 764 890 955 979 1780 1910 1958 2101 3820 3916 4202 4895 8404 9790 10505 16999 19580 21010 33998 42020 67996 84995 169990 186989 339980 373978 747956 934945 1869890 3739780 5882999 11765998 23531996 29414995 58829990 64712989 117659980 129425978 258851956 323564945 523586911 647129890 1047173822 1123652809 1294259780 2094347644 2247305618 2617934555 4494611236 5235869110 5618264045 5759456021 10471738220 11236528090 11518912042 12360180899 22473056180 23037824084 24720361798 28797280105 49440723596 57594560210 61800904495 100005100001 115189120420 123601808990 200010200002 247203617980 400020400004 500025500005 1000051000010 1100056100011 2000102000020 2200112200022 4400224400044 5500280500055 11000561000110 22001122000220