Search a number
-
+
17228510680 = 23519711392297
BaseRepresentation
bin10000000010111001…
…100011010111011000
31122110200111000122011
4100002321203113120
5240240444320210
611525322435304
71146636632053
oct200271432730
948420430564
1017228510680
117341055087
123409962b34
131817450824
14b961a3a9a
156ac7b3d8a
hex402e635d8

17228510680 has 128 divisors (see below), whose sum is σ = 41694912000. Its totient is φ = 6387655680.

The previous prime is 17228510671. The next prime is 17228510681. The reversal of 17228510680 is 8601582271.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17228510681) 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, 7499292 + ... + 7501588.

It is an arithmetic number, because the mean of its divisors is an integer number (325741500).

Almost surely, 217228510680 is an apocalyptic number.

17228510680 is a gapful number since it is divisible by the number (10) 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 17228510680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20847456000).

17228510680 is an abundant number, since it is smaller than the sum of its proper divisors (24466401320).

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

17228510680 is a wasteful number, since it uses less digits than its factorization.

17228510680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 17228510680 in words is "seventeen billion, two hundred twenty-eight million, five hundred ten thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 139 142 152 190 278 284 355 380 556 568 695 710 760 1112 1349 1390 1420 2297 2641 2698 2780 2840 4594 5282 5396 5560 6745 9188 9869 10564 10792 11485 13205 13490 18376 19738 21128 22970 26410 26980 39476 43643 45940 49345 52820 53960 78952 87286 91880 98690 105640 163087 174572 187511 197380 218215 319283 326174 349144 375022 394760 436430 638566 652348 750044 815435 872860 937555 1277132 1304696 1500088 1596415 1630870 1745720 1875110 2554264 3098653 3192830 3261740 3750220 6066377 6197306 6385660 6523480 7500440 12132754 12394612 12771320 15493265 22669093 24265508 24789224 30331885 30986530 45338186 48531016 60663770 61973060 90676372 113345465 121327540 123946120 181352744 226690930 242655080 430712767 453381860 861425534 906763720 1722851068 2153563835 3445702136 4307127670 8614255340 17228510680