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220201220222020 = 225241115342979221
BaseRepresentation
bin110010000100010110010111…
…100000101010110001000100
31001212200000211122102221122201
4302010112113200222301010
5212330234044334101040
62100155013303204244
764245004341114142
oct6204262740526104
91055600748387581
10220201220222020
11641878a41aa434
122084457b146684
1395b3b6961673b
143c53b20038592
151a6ce1457ba9a
hexc8459782ac44

220201220222020 has 96 divisors (see below), whose sum is σ = 464902620579936. Its totient is φ = 87609035980800.

The previous prime is 220201220221991. The next prime is 220201220222023. The reversal of 220201220222020 is 20222022102022.

It can be written as a sum of positive squares in 16 ways, for example, as 1683703475776 + 218517516746244 = 1297576^2 + 14782338^2 .

It is not an unprimeable number, because it can be changed into a prime (220201220222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23880401010 + ... + 23880410230.

It is an arithmetic number, because the mean of its divisors is an integer number (4842735631041).

Almost surely, 2220201220222020 is an apocalyptic number.

220201220222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201220222020 is an abundant number, since it is smaller than the sum of its proper divisors (244701400357916).

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

220201220222020 is a wasteful number, since it uses less digits than its factorization.

220201220222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 220201220222020 its reverse (20222022102022), we get a palindrome (240423242324042).

The spelling of 220201220222020 in words is "two hundred twenty trillion, two hundred one billion, two hundred twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1153 1205 2306 2410 4297 4612 4820 5765 8594 9221 11530 17188 18442 21485 23060 36884 42970 46105 85940 92210 184420 277873 555746 1035577 1111492 1389365 2071154 2222261 2778730 4142308 4444522 4954441 5177885 5557460 8889044 9908882 10355770 10631813 11111305 19817764 20711540 21263626 22222610 24772205 39622637 42527252 44445220 49544410 53159065 79245274 99088820 106318130 158490548 198113185 212636260 396226370 792452740 1194020281 2388040562 2562266933 4776081124 5124533866 5970101405 9549055517 10249067732 11940202810 12811334665 19098111034 23880405620 25622669330 38196222068 45684900461 47745277585 51245338660 91369800922 95490555170 182739601844 190981110340 228424502305 456849004610 913698009220 11010061011101 22020122022202 44040244044404 55050305055505 110100610111010 220201220222020