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222202131022230 = 235191014602783857
BaseRepresentation
bin110010100001011101110111…
…000101101000000110010110
31002010202022112120010020121220
4302201131313011220012112
5213111024431020202410
62104330125541551210
764542400643232342
oct6241356705500626
91063668476106556
10222202131022230
1164889438189967
1220b08318115506
1396ca756786338
143cc28d7856622
151aa4ec24bb070
hexca1777168196

222202131022230 has 128 divisors (see below), whose sum is σ = 566929777605120. Its totient is φ = 55577610086400.

The previous prime is 222202131022171. The next prime is 222202131022241. The reversal of 222202131022230 is 32220131202222.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222202131022230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649732462 + ... + 2649816318.

It is an arithmetic number, because the mean of its divisors is an integer number (4429138887540).

Almost surely, 2222202131022230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222202131022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283464888802560).

222202131022230 is an abundant number, since it is smaller than the sum of its proper divisors (344727646582890).

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

222202131022230 is a wasteful number, since it uses less digits than its factorization.

222202131022230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130014.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222202131022230 its reverse (32220131202222), we get a palindrome (254422262224452).

The spelling of 222202131022230 in words is "two hundred twenty-two trillion, two hundred two billion, one hundred thirty-one million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 202 285 303 505 570 606 1010 1515 1919 3030 3838 5757 9595 11514 19190 28785 46027 57570 83857 92054 138081 167714 230135 251571 276162 419285 460270 503142 690405 838570 874513 1257855 1380810 1593283 1749026 2515710 2623539 3186566 4372565 4648727 4779849 5247078 7966415 8469557 8745130 9297454 9559698 13117695 13946181 15932830 16939114 23243635 23899245 25408671 26235390 27892362 42347785 46487270 47798490 50817342 69730905 84695570 88325813 127043355 139461810 160921583 176651626 254086710 264977439 321843166 441629065 482764749 529954878 804607915 883258130 965529498 1324887195 1609215830 2413823745 2649774390 3859686139 4827647490 7719372278 11579058417 19298430695 23158116834 38596861390 57895292085 73334036641 115790584170 146668073282 220002109923 366670183205 389828300039 440004219846 733340366410 779656600078 1100010549615 1169484900117 1949141500195 2200021099230 2338969800234 3898283000390 5847424500585 7406737700741 11694849001170 14813475401482 22220213102223 37033688503705 44440426204446 74067377007410 111101065511115 222202131022230