Search a number
-
+
222122220232020 = 2235131147547191531
BaseRepresentation
bin110010100000010011011100…
…000010001001110101010100
31002010110200021102212111110020
4302200103130002021311110
5213103222301334411040
62104225312252225140
764533541453562523
oct6240233402116524
91063420242774406
10222122220232020
1164858560674489
1220ab493616b1b0
1396c305cc878a4
143cbcab68a04ba
151aa2d96c6ecd0
hexca04dc089d54

222122220232020 has 96 divisors (see below), whose sum is σ = 626697386574336. Its totient is φ = 58779729590400.

The previous prime is 222122220232007. The next prime is 222122220232039. The reversal of 222122220232020 is 20232022221222.

It is a congruent number.

It is an unprimeable number.

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, 1159623655 + ... + 1159815185.

It is an arithmetic number, because the mean of its divisors is an integer number (6528097776816).

Almost surely, 2222122220232020 is an apocalyptic number.

222122220232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122220232020 is an abundant number, since it is smaller than the sum of its proper divisors (404575166342316).

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

222122220232020 is a wasteful number, since it uses less digits than its factorization.

222122220232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339221 (or 339219 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222122220232020 its reverse (20232022221222), we get a palindrome (242354242453242).

The spelling of 222122220232020 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 147547 191531 295094 383062 442641 574593 590188 737735 766124 885282 957655 1149186 1475470 1770564 1915310 2213205 2298372 2872965 2950940 3830620 4426410 5745930 8852820 11491860 19328657 25090561 38657314 50181122 57985971 75271683 77314628 96643285 100362244 115971942 125452805 150543366 193286570 231943884 250905610 289929855 301086732 376358415 386573140 501811220 579859710 752716830 1159719420 1505433660 28259824457 56519648914 84779473371 113039297828 141299122285 169558946742 282598244570 339117893484 423897366855 565196489140 847794733710 1695589467420 3702037003867 7404074007734 11106111011601 14808148015468 18510185019335 22212222023202 37020370038670 44424444046404 55530555058005 74040740077340 111061110116010 222122220232020