Search a number
-
+
20210222210220 = 223257159231007339
BaseRepresentation
bin1001001100001100011110…
…00111011001110010101100
32122120002010010122021101200
410212012033013121302230
510122111013341211340
6110552240425405500
74154066101231020
oct446061707316254
978502103567350
1020210222210220
11649211a616059
122324a62639890
13b37a7b352ac3
144dc273bc6380
15250aaa95d330
hex12618f1d9cac

20210222210220 has 144 divisors (see below), whose sum is σ = 70066573274880. Its totient is φ = 4619184663168.

The previous prime is 20210222210203. The next prime is 20210222210279. The reversal of 20210222210220 is 2201222201202.

20210222210220 is a `hidden beast` number, since 2 + 0 + 2 + 10 + 222 + 210 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20210222210193 and 20210222210202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19559311 + ... + 20566649.

It is an arithmetic number, because the mean of its divisors is an integer number (486573425520).

Almost surely, 220210222210220 is an apocalyptic number.

20210222210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210222210220 is an abundant number, since it is smaller than the sum of its proper divisors (49856351064660).

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

20210222210220 is a wasteful number, since it uses less digits than its factorization.

20210222210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023284 (or 1023279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20210222210220 its reverse (2201222201202), we get a palindrome (22411444411422).

The spelling of 20210222210220 in words is "twenty trillion, two hundred ten billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 15923 31846 47769 63692 79615 95538 111461 143307 159230 191076 222922 238845 286614 318460 334383 445844 477690 557305 573228 668766 716535 955380 1003149 1007339 1114610 1337532 1433070 1671915 2006298 2014678 2229220 2866140 3022017 3343830 4012596 4029356 5015745 5036695 6044034 6687660 7051373 9066051 10031490 10073390 12088068 14102746 15110085 18132102 20062980 20146780 21154119 28205492 30220170 35256865 36264204 42308238 45330255 60440340 63462357 70513730 84616476 90660510 105770595 126924714 141027460 181321020 211541190 253849428 317311785 423082380 634623570 1269247140 16039858897 32079717794 48119576691 64159435588 80199294485 96239153382 112279012279 144358730073 160398588970 192478306764 224558024558 240597883455 288717460146 320797177940 336837036837 449116049116 481195766910 561395061395 577434920292 673674073674 721793650365 962391533820 1010511110511 1122790122790 1347348147348 1443587300730 1684185184185 2021022221022 2245580245580 2887174601460 3368370368370 4042044442044 5052555552555 6736740736740 10105111105110 20210222210220