Search a number
-
+
232123232220 = 22351132906627
BaseRepresentation
bin1101100000101110011…
…1110110111111011100
3211012011001210221220220
43120023213312333130
512300342021412340
6254345210241340
722525141630155
oct3301347667734
9735131727826
10232123232220
118a496571000
1238ba1726250
1318b735477a9
14b34050292c
1560886a3ed0
hex360b9f6fdc

232123232220 has 96 divisors (see below), whose sum is σ = 714890969856. Its totient is φ = 56272279360.

The previous prime is 232123232219. The next prime is 232123232233. The reversal of 232123232220 is 22232321232.

It is a super-2 number, since 2×2321232322202 (a number of 24 digits) contains 22 as substring.

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, 1373454 + ... + 1533173.

It is an arithmetic number, because the mean of its divisors is an integer number (7446780936).

Almost surely, 2232123232220 is an apocalyptic number.

232123232220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232123232220 is an abundant number, since it is smaller than the sum of its proper divisors (482767737636).

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

232123232220 is a wasteful number, since it uses less digits than its factorization.

232123232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906672 (or 2906648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232123232220 its reverse (22232321232), we get a palindrome (254355553452).

The spelling of 232123232220 in words is "two hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 5324 6655 7260 7986 13310 15972 19965 26620 39930 79860 2906627 5813254 8719881 11626508 14533135 17439762 29066270 31972897 34879524 43599405 58132540 63945794 87198810 95918691 127891588 159864485 174397620 191837382 319728970 351701867 383674764 479593455 639457940 703403734 959186910 1055105601 1406807468 1758509335 1918373820 2110211202 3517018670 3868720537 4220422404 5275528005 7034037340 7737441074 10551056010 11606161611 15474882148 19343602685 21102112020 23212323222 38687205370 46424646444 58030808055 77374410740 116061616110 232123232220