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212200230320 = 245133137177889
BaseRepresentation
bin1100010110100000011…
…1101000110110110000
3202021201121011121012122
43011220013220312300
511434041224332240
6241252231213412
721221343124421
oct3055007506660
9667647147178
10212200230320
1181aa2552881
1235161517268
1317019abba80
14a3b0541648
1557be5974b5
hex31681e8db0

212200230320 has 160 divisors (see below), whose sum is σ = 563282280960. Its totient is φ = 73773711360.

The previous prime is 212200230259. The next prime is 212200230329. The reversal of 212200230320 is 23032002212.

It is a super-2 number, since 2×2122002303202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212200230329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103936 + ... + 1281824.

It is an arithmetic number, because the mean of its divisors is an integer number (3520514256).

Almost surely, 2212200230320 is an apocalyptic number.

212200230320 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 212200230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281641140480).

212200230320 is an abundant number, since it is smaller than the sum of its proper divisors (351082050640).

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

212200230320 is a wasteful number, since it uses less digits than its factorization.

212200230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177983 (or 177977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 212200230320 its reverse (23032002212), we get a palindrome (235232232532).

The spelling of 212200230320 in words is "two hundred twelve billion, two hundred million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 37 40 52 62 65 74 80 104 124 130 148 155 185 208 248 260 296 310 370 403 481 496 520 592 620 740 806 962 1040 1147 1240 1480 1612 1924 2015 2294 2405 2480 2960 3224 3848 4030 4588 4810 5735 6448 7696 8060 9176 9620 11470 14911 16120 18352 19240 22940 29822 32240 38480 45880 59644 74555 91760 119288 149110 177889 238576 298220 355778 596440 711556 889445 1192880 1423112 1778890 2312557 2846224 3557780 4625114 5514559 6581893 7115560 9250228 11029118 11562785 13163786 14231120 18500456 22058236 23125570 26327572 27572795 32909465 37000912 44116472 46251140 52655144 55145590 65818930 71689267 85564609 88232944 92502280 105310288 110291180 131637860 143378534 171129218 185004560 204038683 220582360 263275720 286757068 342258436 358446335 408077366 427823045 441164720 526551440 573514136 684516872 716892670 816154732 855646090 1020193415 1147028272 1369033744 1433785340 1632309464 1711292180 2040386830 2652502879 2867570680 3264618928 3422584360 4080773660 5305005758 5735141360 6845168720 8161547320 10610011516 13262514395 16323094640 21220023032 26525028790 42440046064 53050057580 106100115160 212200230320