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220203102220 = 2251713912793643
BaseRepresentation
bin1100110100010100100…
…0001011000000001100
3210001101022222121121121
43031011020023000030
512101433443232340
6245054312410324
721623560325443
oct3150510130014
9701338877547
10220203102220
1185429a019a2
12368156a69a4
13179c3ac912a
14a92d355d5a
155adbe5d94a
hex334520b00c

220203102220 has 96 divisors (see below), whose sum is σ = 493671628800. Its totient is φ = 82216664064.

The previous prime is 220203102179. The next prime is 220203102227. The reversal of 220203102220 is 22201302022.

It is a junction number, because it is equal to n+sod(n) for n = 220203102194 and 220203102203.

It is not an unprimeable number, because it can be changed into a prime (220203102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60443719 + ... + 60447361.

It is an arithmetic number, because the mean of its divisors is an integer number (5142412800).

Almost surely, 2220203102220 is an apocalyptic number.

220203102220 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 220203102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246835814400).

220203102220 is an abundant number, since it is smaller than the sum of its proper divisors (273468526580).

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

220203102220 is a wasteful number, since it uses less digits than its factorization.

220203102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 220203102220 its reverse (22201302022), we get a palindrome (242404404242).

The spelling of 220203102220 in words is "two hundred twenty billion, two hundred three million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1279 1390 2363 2558 2780 3643 4726 5116 6395 7286 9452 11815 12790 14572 18215 21743 23630 25580 36430 43486 47260 61931 72860 86972 108715 123862 177781 217430 247724 309655 355562 434860 506377 619310 711124 888905 1012754 1238620 1777810 2025508 2531885 3022277 3555620 4659397 5063770 6044554 8608409 9318794 10127540 12089108 15111385 17216818 18637588 23296985 30222770 34433636 43042045 46593970 60445540 79209749 86084090 93187940 158419498 172168180 316838996 396048745 647656183 792097490 1295312366 1584194980 2590624732 3238280915 6476561830 11010155111 12953123660 22020310222 44040620444 55050775555 110101551110 220203102220