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2168817690 = 23513109163313
BaseRepresentation
bin1000000101000101…
…1000100000011010
312121011000100120010
42001101120200122
513420204131230
6555113142350
7104513434434
oct20121304032
95534010503
102168817690
11a13271916
125063ba9b6
132874344a0
14168081654
15ca60c9b0
hex8145881a

2168817690 has 128 divisors (see below), whose sum is σ = 5709876480. Its totient is φ = 524040192.

The previous prime is 2168817667. The next prime is 2168817697. The reversal of 2168817690 is 967188612.

It is a super-2 number, since 2×21688176902 = 9407540344913872200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2168817697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6928974 + ... + 6929286.

It is an arithmetic number, because the mean of its divisors is an integer number (44608410).

Almost surely, 22168817690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168817690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854938240).

2168817690 is an abundant number, since it is smaller than the sum of its proper divisors (3541058790).

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

2168817690 is a wasteful number, since it uses less digits than its factorization.

2168817690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 2168817690 is about 46570.5667777406. The cubic root of 2168817690 is about 1294.4174200605.

The spelling of 2168817690 in words is "two billion, one hundred sixty-eight million, eight hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 163 195 218 313 326 327 390 489 545 626 654 815 939 978 1090 1417 1565 1630 1635 1878 2119 2445 2834 3130 3270 4069 4238 4251 4695 4890 6357 7085 8138 8502 9390 10595 12207 12714 14170 17767 20345 21190 21255 24414 31785 34117 35534 40690 42510 51019 53301 61035 63570 68234 88835 102038 102351 106602 122070 153057 170585 177670 204702 230971 255095 266505 306114 341170 443521 461942 510190 511755 533010 663247 692913 765285 887042 1023510 1154855 1326494 1330563 1385826 1530570 1989741 2217605 2309710 2661126 3316235 3464565 3979482 4435210 5561071 6632470 6652815 6929130 9948705 11122142 13305630 16683213 19897410 27805355 33366426 55610710 72293923 83416065 144587846 166832130 216881769 361469615 433763538 722939230 1084408845 2168817690