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230222123210310 = 235711467921300119
BaseRepresentation
bin110100010110001011000011…
…110111111001011001000110
31010012011000112121100000210120
4310112023003313321121012
5220133424402020212220
62133350330000002410
766330666555111330
oct6426130367713106
91105130477300716
10230222123210310
11673a0721745990
12219a270b300406
139b5cb1224b48a
1440bcb4b346450
151b93914657a40
hexd162c3df9646

230222123210310 has 128 divisors (see below), whose sum is σ = 689019689779200. Its totient is φ = 47828136961920.

The previous prime is 230222123210279. The next prime is 230222123210311. The reversal of 230222123210310 is 13012321222032.

It is a super-2 number, since 2×2302221232103102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230222123210311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158431 + ... + 21458549.

It is an arithmetic number, because the mean of its divisors is an integer number (5382966326400).

Almost surely, 2230222123210310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230222123210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344509844889600).

230222123210310 is an abundant number, since it is smaller than the sum of its proper divisors (458797566568890).

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

230222123210310 is a wasteful number, since it uses less digits than its factorization.

230222123210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21304826.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230222123210310 its reverse (13012321222032), we get a palindrome (243234444432342).

The spelling of 230222123210310 in words is "two hundred thirty trillion, two hundred twenty-two billion, one hundred twenty-three million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4679 9358 14037 23395 28074 32753 46790 51469 65506 70185 98259 102938 140370 154407 163765 196518 257345 308814 327530 360283 491295 514690 720566 772035 982590 1080849 1544070 1801415 2161698 3602830 5404245 10808490 21300119 42600238 63900357 106500595 127800714 149100833 213001190 234301309 298201666 319501785 447302499 468602618 639003570 702903927 745504165 894604998 1171506545 1405807854 1491008330 1640109163 2236512495 2343013090 3280218326 3514519635 4473024990 4920327489 7029039270 8200545815 9840654978 16401091630 24601637445 49203274890 99663256801 199326513602 298989770403 498316284005 597979540806 697642797607 996632568010 1096295824811 1395285595214 1494948852015 2092928392821 2192591649622 2989897704030 3288887474433 3488213988035 4185856785642 5481479124055 6577774948866 6976427976070 7674070773677 10464641964105 10962958248110 15348141547354 16444437372165 20929283928210 23022212321031 32888874744330 38370353868385 46044424642062 76740707736770 115111061605155 230222123210310