Search a number
-
+
20222010102210 = 23571631291145757
BaseRepresentation
bin1001001100100010011011…
…01110101001000111000010
32122121012112122122020020220
410212101031232221013002
510122304134041232320
6111001510241043510
74154664155531040
oct446211556510702
978535478566226
1020222010102210
116497119574854
1223271b2326596
13b38c09581117
144dca7158d390
1525104a781e40
hex12644dba91c2

20222010102210 has 128 divisors (see below), whose sum is σ = 55811909689344. Its totient is φ = 4593360648960.

The previous prime is 20222010102197. The next prime is 20222010102223. The reversal of 20222010102210 is 1220101022202.

It is an interprime number because it is at equal distance from previous prime (20222010102197) and next prime (20222010102223).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20222010102210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441920652 + ... + 441966408.

It is an arithmetic number, because the mean of its divisors is an integer number (436030544448).

Almost surely, 220222010102210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222010102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27905954844672).

20222010102210 is an abundant number, since it is smaller than the sum of its proper divisors (35589899587134).

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

20222010102210 is a wasteful number, since it uses less digits than its factorization.

20222010102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58848.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20222010102210 its reverse (1220101022202), we get a palindrome (21442111124412).

The spelling of 20222010102210 in words is "twenty trillion, two hundred twenty-two billion, ten million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2445 3423 4890 5705 6846 11410 12911 17115 25822 34230 38733 45757 64555 77466 90377 91514 129110 137271 180754 193665 228785 271131 274542 320299 387330 451885 457570 542262 640598 686355 903770 960897 1355655 1372710 1601495 1921794 2104493 2711310 3202990 4208986 4804485 6313479 7458391 9608970 10522465 12626958 14731451 14916782 21044930 22375173 29462902 31567395 37291955 44194353 44750346 52208737 63134790 73657255 74583910 88388706 104417474 111875865 147314510 156626211 220971765 223751730 261043685 313252422 441943530 522087370 590768627 783131055 1181537254 1566262110 1772305881 2953843135 3544611762 4135380389 5907686270 8270760778 8861529405 12406141167 17723058810 20676901945 24812282334 41353803890 62030705835 96295286201 124061411670 192590572402 288885858603 481476431005 577771717206 674067003407 962952862010 1348134006814 1444429293015 2022201010221 2888858586030 3370335017035 4044402020442 6740670034070 10111005051105 20222010102210