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222241301040 = 243511471791113
BaseRepresentation
bin1100111011111010011…
…1010010001000110000
3210020122101012211202210
43032332213102020300
512120122233113130
6250032442212120
722025226614163
oct3167647221060
9706571184683
10222241301040
1186285469930
12370a41b4040
1317c5a159235
14aa83d15ada
155baad695b0
hex33be9d2230

222241301040 has 160 divisors (see below), whose sum is σ = 767571158016. Its totient is φ = 52730337280.

The previous prime is 222241301033. The next prime is 222241301111. The reversal of 222241301040 is 40103142222.

222241301040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222241300998 and 222241301016.

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, 771477 + ... + 1019636.

Almost surely, 2222241301040 is an apocalyptic number.

222241301040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222241301040 is an abundant number, since it is smaller than the sum of its proper divisors (545329856976).

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

222241301040 is a wasteful number, since it uses less digits than its factorization.

222241301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791187 (or 1791181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 222241301040 its reverse (40103142222), we get a palindrome (262344443262).

The spelling of 222241301040 in words is "two hundred twenty-two billion, two hundred forty-one million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1880 2068 2256 2585 2640 2820 3102 3760 4136 5170 5640 6204 7755 8272 10340 11280 12408 15510 20680 24816 31020 41360 62040 124080 1791113 3582226 5373339 7164452 8955565 10746678 14328904 17911130 19702243 21493356 26866695 28657808 35822260 39404486 42986712 53733390 59106729 71644520 78808972 84182311 85973424 98511215 107466780 118213458 143289040 157617944 168364622 197022430 214933560 236426916 252546933 295533645 315235888 336729244 394044860 420911555 429867120 472853832 505093866 591067290 673458488 788089720 841823110 926005421 945707664 1010187732 1182134580 1262734665 1346916976 1576179440 1683646220 1852010842 2020375464 2364269160 2525469330 2778016263 3367292440 3704021684 4040750928 4630027105 4728538320 5050938660 5556032526 6734584880 7408043368 9260054210 10101877320 11112065052 13890081315 14816086736 18520108420 20203754640 22224130104 27780162630 37040216840 44448260208 55560325260 74080433680 111120650520 222241301040