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2168383668 = 22311371133929
BaseRepresentation
bin1000000100111110…
…1110100010110100
312121010012022012020
42001033232202310
513420101234133
6555055553140
7104506646163
oct20117564264
95533168166
102168383668
11a12aa5820
1250622b7b0
13287311a79
14167dab3da
15ca5740b3
hex813ee8b4

2168383668 has 96 divisors (see below), whose sum is σ = 5720319360. Its totient is φ = 633507840.

The previous prime is 2168383667. The next prime is 2168383669. The reversal of 2168383668 is 8663838612.

It is an interprime number because it is at equal distance from previous prime (2168383667) and next prime (2168383669).

It is a self number, because there is not a number n which added to its sum of digits gives 2168383668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168383667) 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, 549928 + ... + 553856.

It is an arithmetic number, because the mean of its divisors is an integer number (59586660).

Almost surely, 22168383668 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 2168383668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860159680).

2168383668 is an abundant number, since it is smaller than the sum of its proper divisors (3551935692).

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

2168383668 is a wasteful number, since it uses less digits than its factorization.

2168383668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4095 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 2168383668 is about 46565.9067129590. The cubic root of 2168383668 is about 1294.3310683860.

The spelling of 2168383668 in words is "two billion, one hundred sixty-eight million, three hundred eighty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 113 132 148 222 226 339 407 444 452 678 814 1221 1243 1356 1628 2442 2486 3729 3929 4181 4884 4972 7458 7858 8362 11787 12543 14916 15716 16724 23574 25086 43219 45991 47148 50172 86438 91982 129657 137973 145373 172876 183964 259314 275946 290746 436119 443977 518628 551892 581492 872238 887954 1331931 1599103 1744476 1775908 2663862 3198206 4797309 4883747 5327724 6396412 9594618 9767494 14651241 16427149 19189236 19534988 29302482 32854298 49281447 58604964 65708596 98562894 180698639 197125788 361397278 542095917 722794556 1084191834 2168383668