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212213233020 = 223583353912041
BaseRepresentation
bin1100010110100011100…
…1001111010101111100
3202021202111122012120010
43011220321033111330
511434103041424040
6241253414023220
721221561501235
oct3055071172574
9667674565503
10212213233020
1181aa9923a08
1235165947b10
131701c6c2289
14a3b216808c
1557c07b4e80
hex3168e4f57c

212213233020 has 96 divisors (see below), whose sum is σ = 601575932160. Its totient is φ = 55887946240.

The previous prime is 212213232949. The next prime is 212213233049. The reversal of 212213233020 is 20332312212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17618200 + ... + 17630240.

It is an arithmetic number, because the mean of its divisors is an integer number (6266415960).

Almost surely, 2212213233020 is an apocalyptic number.

212213233020 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 212213233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300787966080).

212213233020 is an abundant number, since it is smaller than the sum of its proper divisors (389362699140).

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

212213233020 is a wasteful number, since it uses less digits than its factorization.

212213233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15675 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212213233020 its reverse (20332312212), we get a palindrome (232545545232).

The spelling of 212213233020 in words is "two hundred twelve billion, two hundred thirteen million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 3539 4980 7078 10617 12041 14156 17695 21234 24082 35390 36123 42468 48164 53085 60205 70780 72246 106170 120410 144492 180615 212340 240820 293737 361230 587474 722460 881211 999403 1174948 1468685 1762422 1998806 2937370 2998209 3524844 3997612 4406055 4997015 5874740 5996418 8812110 9994030 11992836 14991045 17624220 19988060 29982090 42613099 59964180 85226198 127839297 170452396 213065495 255678594 426130990 511357188 639196485 852261980 1278392970 2556785940 3536887217 7073774434 10610661651 14147548868 17684436085 21221323302 35368872170 42442646604 53053308255 70737744340 106106616510 212213233020