Search a number
-
+
21212204220 = 22325734093947
BaseRepresentation
bin10011110000010110…
…001000110010111100
32000202022111121211100
4103300112020302330
5321420311013340
613424511053100
71350441521664
oct236026106274
960668447740
1021212204220
118aa5810a99
12413bb11190
13200088303c
1410532b11a4
158423b7830
hex4f0588cbc

21212204220 has 144 divisors (see below), whose sum is σ = 65401146720. Its totient is φ = 5564049408.

The previous prime is 21212204203. The next prime is 21212204231. The reversal of 21212204220 is 2240221212.

21212204220 is a `hidden beast` number, since 2 + 1 + 21 + 220 + 422 + 0 = 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 = 21212204193 and 21212204202.

It is a congruent number.

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, 5372287 + ... + 5376233.

It is an arithmetic number, because the mean of its divisors is an integer number (454174630).

Almost surely, 221212204220 is an apocalyptic number.

21212204220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32700573360).

21212204220 is an abundant number, since it is smaller than the sum of its proper divisors (44188942500).

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

21212204220 is a wasteful number, since it uses less digits than its factorization.

21212204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4439 counting only the distinct ones).

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

Adding to 21212204220 its reverse (2240221212), we get a palindrome (23452425432).

The spelling of 21212204220 in words is "twenty-one billion, two hundred twelve million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 409 438 657 730 818 876 1095 1227 1314 1460 1636 2045 2190 2454 2628 3285 3681 3947 4090 4380 4908 6135 6570 7362 7894 8180 11841 12270 13140 14724 15788 18405 19735 23682 24540 29857 35523 36810 39470 47364 59205 59714 71046 73620 78940 89571 118410 119428 142092 149285 177615 179142 236820 268713 288131 298570 355230 358284 447855 537426 576262 597140 710460 864393 895710 1074852 1152524 1343565 1440655 1614323 1728786 1791420 2593179 2687130 2881310 3228646 3457572 4321965 4842969 5186358 5374260 5762620 6457292 8071615 8643930 9685938 10372716 12965895 14528907 16143230 17287860 19371876 24214845 25931790 29057814 32286460 48429690 51863580 58115628 72644535 96859380 117845579 145289070 235691158 290578140 353536737 471382316 589227895 707073474 1060610211 1178455790 1414146948 1767683685 2121220422 2356911580 3535367370 4242440844 5303051055 7070734740 10606102110 21212204220