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226234011462340 = 225719174169488321
BaseRepresentation
bin110011011100001000110101…
…111000111010101011000100
31002200000202112020111002211011
4303130020311320322223010
5214123104223413243330
62121054245312252004
765436603463430140
oct6334106570725304
91080022466432734
10226234011462340
11660a333a61aaa2
1221459800841004
139930a113bc6cb
143dc1adac56220
151b24cec1e782a
hexcdc235e3aac4

226234011462340 has 96 divisors (see below), whose sum is σ = 571543007212800. Its totient is φ = 73482956144640.

The previous prime is 226234011462323. The next prime is 226234011462341. The reversal of 226234011462340 is 43264110432622.

226234011462340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226234011462293 and 226234011462302.

It is not an unprimeable number, because it can be changed into a prime (226234011462341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463045380 + ... + 463533700.

It is an arithmetic number, because the mean of its divisors is an integer number (5953572991800).

Almost surely, 2226234011462340 is an apocalyptic number.

226234011462340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226234011462340 is an abundant number, since it is smaller than the sum of its proper divisors (345308995750460).

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

226234011462340 is a wasteful number, since it uses less digits than its factorization.

226234011462340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662525 (or 662523 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 226234011462340 its reverse (43264110432622), we get a palindrome (269498121894962).

The spelling of 226234011462340 in words is "two hundred twenty-six trillion, two hundred thirty-four billion, eleven million, four hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 174169 348338 488321 696676 870845 976642 1219183 1741690 1953284 2438366 2441605 3309211 3418247 3483380 4876732 4883210 6095915 6618422 6836494 9278099 9766420 12191830 13236844 13672988 16546055 17091235 18556198 23164477 24383660 33092110 34182470 37112396 46328954 46390495 64946693 66184220 68364940 92657908 92780990 115822385 129893386 185561980 231644770 259786772 324733465 463289540 649466930 1298933860 85050380249 170100760498 340201520996 425251901245 595352661743 850503802490 1190705323486 1615957224731 1701007604980 2381410646972 2976763308715 3231914449462 5953526617430 6463828898924 8079786123655 11311700573117 11907053234860 16159572247310 22623401146234 32319144494620 45246802292468 56558502865585 113117005731170 226234011462340