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212211242340 = 2235173198710289
BaseRepresentation
bin1100010110100011000…
…1101001010101100100
3202021202100220001212020
43011220301221111210
511434102034223330
6241253303223140
721221535540426
oct3055061512544
9667670801766
10212211242340
1181aa8794319
1235165147ab0
131701c176166
14a3b1baa816
1557c0520210
hex3168c69564

212211242340 has 96 divisors (see below), whose sum is σ = 597984992640. Its totient is φ = 56228775936.

The previous prime is 212211242333. The next prime is 212211242351. The reversal of 212211242340 is 43242112212.

It is a super-2 number, since 2×2122112423402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212211242340.

It is an unprimeable number.

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, 20619916 + ... + 20630204.

It is an arithmetic number, because the mean of its divisors is an integer number (6229010340).

Almost surely, 2212211242340 is an apocalyptic number.

212211242340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211242340 is an abundant number, since it is smaller than the sum of its proper divisors (385773750300).

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

212211242340 is a wasteful number, since it uses less digits than its factorization.

212211242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12461 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212211242340 its reverse (43242112212), we get a palindrome (255453354552).

The spelling of 212211242340 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 1987 2076 2595 3460 3974 5190 5961 7948 9935 10289 10380 11922 19870 20578 23844 29805 30867 39740 41156 51445 59610 61734 102890 119220 123468 154335 205780 308670 343751 617340 687502 1031253 1375004 1718755 1779997 2062506 3437510 3559994 4125012 5156265 5339991 6875020 7119988 8899985 10312530 10679982 17799970 20444243 20625060 21359964 26699955 35599940 40888486 53399910 61332729 81776972 102221215 106799820 122665458 204442430 245330916 306663645 408884860 613327290 1226654580 3536854039 7073708078 10610562117 14147416156 17684270195 21221124234 35368540390 42442248468 53052810585 70737080780 106105621170 212211242340