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222424312034340 = 2232513372569003373
BaseRepresentation
bin110010100100101100110010…
…000110111011010000100100
31002011112120000201220002112100
4302210230302012323100210
5213123144442340044330
62105020152432052100
764564424541540213
oct6244546206732044
91064476021802470
10222424312034340
116496469160a829
1220b433a4094030
1397156a4293c40
143ccd57375707a
151aaab77dc7060
hexca4b321bb424

222424312034340 has 144 divisors (see below), whose sum is σ = 746223548052528. Its totient is φ = 53270853921792.

The previous prime is 222424312034333. The next prime is 222424312034341. The reversal of 222424312034340 is 43430213424222.

222424312034340 is a `hidden beast` number, since 2 + 2 + 24 + 243 + 1 + 20 + 34 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35506415543076 + 186917896491264 = 5958726^2 + 13671792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222424312034295 and 222424312034304.

It is not an unprimeable number, because it can be changed into a prime (222424312034341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284415107 + ... + 1284588266.

It is an arithmetic number, because the mean of its divisors is an integer number (5182107972587).

Almost surely, 2222424312034340 is an apocalyptic number.

222424312034340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222424312034340 is an abundant number, since it is smaller than the sum of its proper divisors (523799236018188).

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

222424312034340 is a wasteful number, since it uses less digits than its factorization.

222424312034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569003438 (or 2569003433 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 222424312034340 its reverse (43430213424222), we get a palindrome (265854525458562).

The spelling of 222424312034340 in words is "two hundred twenty-two trillion, four hundred twenty-four billion, three hundred twelve million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 14430 17316 21645 28860 43290 86580 2569003373 5138006746 7707010119 10276013492 12845016865 15414020238 23121030357 25690033730 30828040476 33397043849 38535050595 46242060714 51380067460 66794087698 77070101190 92484121428 95053124801 100191131547 115605151785 133588175396 154140202380 166985219245 190106249602 200382263094 231210303570 285159374403 300573394641 333970438490 380212499204 400764526188 462420607140 475265624005 500955657735 570318748806 601146789282 667940876980 855478123209 950531248010 1001911315470 1140637497612 1202293578564 1235690622413 1425796872015 1502866973205 1710956246418 1901062496020 2003822630940 2471381244826 2851593744030 3005733946410 3421912492836 3707071867239 4277390616045 4942762489652 5703187488060 6011467892820 6178453112065 7414143734478 8554781232090 11121215601717 12356906224130 14828287468956 17109562464180 18535359336195 22242431203434 24713812448260 37070718672390 44484862406868 55606078008585 74141437344780 111212156017170 222424312034340