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68221335 = 35713234153
BaseRepresentation
bin1000001000011…
…11100110010111
311202101000002010
410010033212113
5114431040320
610434115303
71455605010
oct404174627
9152330063
1068221335
1135566776
121aa1bb33
1311198070
1490bc007
155ec8ae0
hex410f997

68221335 has 128 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 26357760.

The previous prime is 68221301. The next prime is 68221397. The reversal of 68221335 is 53312286.

It is not a de Polignac number, because 68221335 - 213 = 68213143 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1287169 + ... + 1287221.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 268221335 is an apocalyptic number.

68221335 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68221335 is an abundant number, since it is smaller than the sum of its proper divisors (78091881).

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

68221335 is a wasteful number, since it uses less digits than its factorization.

68221335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its digits is 8640, while the sum is 30.

The square root of 68221335 is about 8259.6207540056. The cubic root of 68221335 is about 408.6078801523.

The spelling of 68221335 in words is "sixty-eight million, two hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 23 35 39 41 53 65 69 91 105 115 123 159 161 195 205 265 273 287 299 345 371 455 483 533 615 689 795 805 861 897 943 1113 1219 1365 1435 1495 1599 1855 2067 2093 2173 2415 2665 2829 3445 3657 3731 4305 4485 4715 4823 5565 6095 6279 6519 6601 7995 8533 10335 10465 10865 11193 12259 14145 14469 15211 15847 18285 18655 19803 24115 25599 28249 31395 32595 33005 36777 42665 45633 47541 49979 55965 61295 72345 76055 79235 84747 85813 99015 110929 127995 141245 149937 183885 197743 228165 237705 249895 257439 332787 349853 423735 429065 554645 593229 649727 749685 988715 1049559 1287195 1663935 1749265 1949181 2966145 3248635 4548089 5247795 9745905 13644267 22740445 68221335