Search a number
-
+
212214242220 = 223537244139161
BaseRepresentation
bin1100010110100011110…
…1000101101110101100
3202021202120112110220220
43011220331011232230
511434103321222340
6241253451411340
721221603203431
oct3055075055654
9667676473826
10212214242220
1181aaa453162
1235166153b50
131701c986736
14a3b234bb88
1557c0913ed0
hex3168f45bac

212214242220 has 96 divisors (see below), whose sum is σ = 610524927936. Its totient is φ = 55037030400.

The previous prime is 212214242161. The next prime is 212214242263. The reversal of 212214242220 is 22242412212.

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, 5399440 + ... + 5438600.

It is an arithmetic number, because the mean of its divisors is an integer number (6359634666).

Almost surely, 2212214242220 is an apocalyptic number.

212214242220 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 212214242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305262463968).

212214242220 is an abundant number, since it is smaller than the sum of its proper divisors (398310685716).

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

212214242220 is a wasteful number, since it uses less digits than its factorization.

212214242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41651 (or 41649 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212214242220 its reverse (22242412212), we get a palindrome (234456654432).

The spelling of 212214242220 in words is "two hundred twelve billion, two hundred fourteen million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2441 4882 7323 9764 12205 14646 24410 29292 36615 39161 48820 73230 78322 90317 117483 146460 156644 180634 195805 234966 270951 361268 391610 451585 469932 541902 587415 783220 903170 1083804 1174830 1354755 1448957 1806340 2349660 2709510 2897914 4346871 5419020 5795828 7244785 8693742 14489570 17387484 21734355 28979140 43468710 86937420 95592001 191184002 286776003 382368004 477960005 573552006 955920010 1147104012 1433880015 1911840020 2867760030 3536904037 5735520060 7073808074 10610712111 14147616148 17684520185 21221424222 35369040370 42442848444 53053560555 70738080740 106107121110 212214242220