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212341220 = 225713176863
BaseRepresentation
bin11001010100000…
…01000111100100
3112210120001101122
430222001013210
5413324404340
633023113112
75155604420
oct1452010744
9483501348
10212341220
11a9952113
125b142798
1334cb86c0
14202b5b80
1513995db5
hexca811e4

212341220 has 96 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 63240192.

The previous prime is 212341189. The next prime is 212341247. The reversal of 212341220 is 22143212.

It is a super-2 number, since 2×2123412202 = 90177587422176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27509 + ... + 34371.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2212341220 is an apocalyptic number.

212341220 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 212341220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

212341220 is an abundant number, since it is smaller than the sum of its proper divisors (368847388).

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

212341220 is a wasteful number, since it uses less digits than its factorization.

212341220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212341220 is about 14571.9326103300. The cubic root of 212341220 is about 596.5929304897.

Adding to 212341220 its reverse (22143212), we get a palindrome (234484432).

The spelling of 212341220 in words is "two hundred twelve million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 6863 7735 13726 15470 27452 30940 34315 48041 68630 89219 96082 116671 137260 178438 192164 233342 240205 356876 446095 466684 480410 583355 624533 816697 892190 960820 1166710 1249066 1516723 1633394 1784380 2333420 2498132 3033446 3122665 3266788 4083485 6066892 6245330 7583615 8166970 10617061 12490660 15167230 16333940 21234122 30334460 42468244 53085305 106170610 212341220