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2220326126616 = 2331373895110891
BaseRepresentation
bin100000010011110101110…
…000000000010000011000
321212021001100022202022210
4200103311300000100120
5242334211442022431
64420000450315120
7316261515452313
oct40236560002030
97767040282283
102220326126616
117866a923a834
122ba392888aa0
131314b69a5bb0
14796702ab97a
153cb50b3cd46
hex204f5c00418

2220326126616 has 128 divisors (see below), whose sum is σ = 6060922237440. Its totient is φ = 673681536000.

The previous prime is 2220326126569. The next prime is 2220326126633. The reversal of 2220326126616 is 6166216230222.

It is a super-2 number, since 2×22203261266162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 203862531 + ... + 203873421.

It is an arithmetic number, because the mean of its divisors is an integer number (47350954980).

Almost surely, 22220326126616 is an apocalyptic number.

2220326126616 is a gapful number since it is divisible by the number (26) 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 2220326126616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030461118720).

2220326126616 is an abundant number, since it is smaller than the sum of its proper divisors (3840596110824).

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

2220326126616 is a wasteful number, since it uses less digits than its factorization.

2220326126616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19937 (or 19933 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 2220326126616 in words is "two trillion, two hundred twenty billion, three hundred twenty-six million, one hundred twenty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 8951 10891 11388 17902 21782 22776 26853 32673 35804 43564 53706 65346 71608 87128 107412 116363 130692 141583 214824 232726 261384 283166 349089 424749 465452 566332 653423 698178 795043 849498 930904 1132664 1306846 1396356 1590086 1698996 1960269 2385129 2613692 2792712 3180172 3397992 3920538 4770258 5227384 6360344 7841076 8494499 9540516 10335559 15682152 16988998 19081032 20671118 25483497 31006677 33977996 41342236 50966994 62013354 67955992 82684472 97485341 101933988 124026708 194970682 203867976 248053416 292456023 389941364 584912046 779882728 1169824092 1267309433 2339648184 2534618866 3801928299 5069237732 7116429893 7603856598 10138475464 14232859786 15207713196 21349289679 28465719572 30415426392 42698579358 56931439144 85397158716 92513588609 170794317432 185027177218 277540765827 370054354436 555081531654 740108708872 1110163063308 2220326126616