Search a number
-
+
220112212221220 = 225113136718791751
BaseRepresentation
bin110010000011000011011110…
…001110000101110100100100
31001212100112002112012000121111
4302003003132032011310210
5212322304302312034340
62100050053200554404
764235403545436424
oct6203033616056444
91055315075160544
10220112212221220
1164153079537aa0
122082b27a622a04
1395a865318ca47
143c4d6b8ba4484
151a6a955350aea
hexc830de385d24

220112212221220 has 96 divisors (see below), whose sum is σ = 520665277612032. Its totient is φ = 77437734000000.

The previous prime is 220112212221163. The next prime is 220112212221241. The reversal of 220112212221220 is 22122212211022.

It is a super-2 number, since 2×2201122122212202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 220112212221191 and 220112212221200.

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, 20640345 + ... + 29432095.

It is an arithmetic number, because the mean of its divisors is an integer number (5423596641792).

Almost surely, 2220112212221220 is an apocalyptic number.

220112212221220 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 220112212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260332638806016).

220112212221220 is an abundant number, since it is smaller than the sum of its proper divisors (300553065390812).

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

220112212221220 is a wasteful number, since it uses less digits than its factorization.

220112212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8795473 (or 8795471 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 220112212221220 its reverse (22122212211022), we get a palindrome (242234424432242).

The spelling of 220112212221220 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 3671 6820 7342 14684 18355 36710 40381 73420 80762 113801 161524 201905 227602 403810 455204 569005 807620 1138010 1251811 2276020 2503622 5007244 6259055 8791751 12518110 17583502 25036220 35167004 43958755 87917510 96709261 175835020 193418522 272544281 386837044 483546305 545088562 967092610 1090177124 1362721405 1934185220 2725442810 2997987091 5450885620 5995974182 11991948364 14989935455 29979870910 32274517921 59959741820 64549035842 129098071684 161372589605 322745179210 355019697131 645490358420 710039394262 1000510055551 1420078788524 1775098485655 2001020111102 3550196971310 4002040222204 5002550277755 7100393942620 10005100555510 11005610611061 20010201111020 22011221222122 44022442444244 55028053055305 110056106110610 220112212221220