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20320212220 = 225711101130643
BaseRepresentation
bin10010111011001011…
…011101010011111100
31221110011001201211121
4102323023131103330
5313103433242340
613200204400324
71316360645140
oct227313352374
957404051747
1020320212220
118688259220
123b312460a4
131bbab31619
14daaa3b220
157dde1d94a
hex4bb2dd4fc

20320212220 has 96 divisors (see below), whose sum is σ = 53729174016. Its totient is φ = 6270816000.

The previous prime is 20320212193. The next prime is 20320212221. The reversal of 20320212220 is 2221202302.

It is a super-2 number, since 2×203202122202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20320212194 and 20320212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320212221) 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, 90219 + ... + 220861.

It is an arithmetic number, because the mean of its divisors is an integer number (559678896).

Almost surely, 220320212220 is an apocalyptic number.

20320212220 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 20320212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26864587008).

20320212220 is an abundant number, since it is smaller than the sum of its proper divisors (33408961796).

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

20320212220 is a wasteful number, since it uses less digits than its factorization.

20320212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130771 (or 130769 counting only the distinct ones).

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

Adding to 20320212220 its reverse (2221202302), we get a palindrome (22541414522).

The spelling of 20320212220 in words is "twenty billion, three hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 130643 155540 261286 522572 653215 914501 1306430 1437073 1829002 2612860 2874146 3658004 4572505 5748292 7185365 9145010 10059511 13194943 14370730 18290020 20119022 26389886 28741460 40238044 50297555 52779772 65974715 92364601 100595110 131949430 145144373 184729202 201190220 263898860 290288746 369458404 461823005 580577492 725721865 923646010 1016010611 1451443730 1847292020 2032021222 2902887460 4064042444 5080053055 10160106110 20320212220