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33220304104 = 231323193227317
BaseRepresentation
bin11110111100000101…
…011001110011101000
310011202011212022010111
4132330011121303220
51021013344212404
623132230224104
72254141632361
oct367405316350
9104664768114
1033220304104
11130a7aa5189
1265314b5034
1331955c25a0
141871ddab68
15ce66d8104
hex7bc159ce8

33220304104 has 128 divisors (see below), whose sum is σ = 70891511040. Its totient is φ = 14479736832.

The previous prime is 33220304101. The next prime is 33220304111. The reversal of 33220304104 is 40140302233.

It is a happy number.

It is a super-2 number, since 2×332203041042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33220304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104795754 + ... + 104796070.

It is an arithmetic number, because the mean of its divisors is an integer number (553839930).

Almost surely, 233220304104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220304104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35445755520).

33220304104 is an abundant number, since it is smaller than the sum of its proper divisors (37671206936).

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

33220304104 is a wasteful number, since it uses less digits than its factorization.

33220304104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 33220304104 its reverse (40140302233), we get a palindrome (73360606337).

The spelling of 33220304104 in words is "thirty-three billion, two hundred twenty million, three hundred four thousand, one hundred four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 193 227 299 317 386 454 598 634 772 908 1196 1268 1544 1816 2392 2509 2536 2951 4121 4439 5018 5221 5902 7291 8242 8878 10036 10442 11804 14582 16484 17756 20072 20884 23608 29164 32968 35512 41768 43811 57707 58328 61181 67873 71959 87622 94783 115414 122362 135746 143918 175244 189566 230828 244724 271492 287836 350488 379132 461656 489448 542984 569543 575672 758264 795353 935467 1007653 1139086 1407163 1590706 1655057 1870934 2015306 2278172 2814326 3181412 3310114 3741868 4030612 4556344 5628652 6362824 6620228 7483736 8061224 11257304 13099489 13240456 13888087 18293119 21515741 26198978 27776174 36586238 43031482 52397956 55552348 73172476 86062964 104795912 111104696 146344952 172125928 180545131 319426001 361090262 638852002 722180524 1277704004 1444361048 2555408008 4152538013 8305076026 16610152052 33220304104