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22314534660 = 223251119956633
BaseRepresentation
bin10100110010000011…
…001100011100000100
32010121010201210220200
4110302003030130010
5331200010102120
614130125530500
71416655262235
oct246203143404
963533653820
1022314534660
119510a78190
1243a9113a30
13214806b682
14111985908c
158a905de90
hex5320cc704

22314534660 has 144 divisors (see below), whose sum is σ = 74213193600. Its totient is φ = 5382305280.

The previous prime is 22314534637. The next prime is 22314534761. The reversal of 22314534660 is 6643541322.

It is a super-3 number, since 3×223145346603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 365704 + ... + 422336.

It is an arithmetic number, because the mean of its divisors is an integer number (515369400).

Almost surely, 222314534660 is an apocalyptic number.

22314534660 is a gapful number since it is divisible by the number (20) 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 22314534660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37106596800).

22314534660 is an abundant number, since it is smaller than the sum of its proper divisors (51898658940).

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

22314534660 is a wasteful number, since it uses less digits than its factorization.

22314534660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56858 (or 56853 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 22314534660 in words is "twenty-two billion, three hundred fourteen million, five hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 199 220 330 396 398 495 597 660 796 990 995 1194 1791 1980 1990 2189 2388 2985 3582 3980 4378 5970 6567 7164 8756 8955 10945 11940 13134 17910 19701 21890 26268 32835 35820 39402 43780 56633 65670 78804 98505 113266 131340 169899 197010 226532 283165 339798 394020 509697 566330 622963 679596 849495 1019394 1132660 1245926 1698990 1868889 2038788 2491852 2548485 3114815 3397980 3737778 5096970 5606667 6229630 7475556 9344445 10193940 11213334 11269967 12459260 18688890 22426668 22539934 28033335 33809901 37377780 45079868 56066670 56349835 67619802 101429703 112133340 112699670 123969637 135239604 169049505 202859406 225399340 247939274 338099010 371908911 405718812 495878548 507148515 619848185 676198020 743817822 1014297030 1115726733 1239696370 1487635644 1859544555 2028594060 2231453466 2479392740 3719089110 4462906932 5578633665 7438178220 11157267330 22314534660