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2212863909880 = 23513151157117939
BaseRepresentation
bin100000001100111000111…
…101111001111111111000
321211112210021211212101011
4200030320331321333320
5242223421130104010
64412324201203304
7315605554612351
oct40147075717770
97745707755334
102212863909880
11783519a95968
122b8a4b790534
131308979b6730
14791631d2d28
153c865970a8a
hex20338f79ff8

2212863909880 has 128 divisors (see below), whose sum is σ = 5401185753600. Its totient is φ = 811084608000.

The previous prime is 2212863909871. The next prime is 2212863909923. The reversal of 2212863909880 is 889093682122.

It is a super-2 number, since 2×22128639098802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123345951 + ... + 123363889.

It is an arithmetic number, because the mean of its divisors is an integer number (42196763700).

Almost surely, 22212863909880 is an apocalyptic number.

2212863909880 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 2212863909880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700592876800).

2212863909880 is an abundant number, since it is smaller than the sum of its proper divisors (3188321843720).

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

2212863909880 is a wasteful number, since it uses less digits than its factorization.

2212863909880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19685 (or 19681 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 2212863909880 in words is "two trillion, two hundred twelve billion, eight hundred sixty-three million, nine hundred nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 151 260 302 520 604 755 1208 1510 1571 1963 3020 3142 3926 6040 6284 7852 7855 9815 12568 15704 15710 17939 19630 20423 31420 35878 39260 40846 62840 71756 78520 81692 89695 102115 143512 163384 179390 204230 233207 237221 358780 408460 466414 474442 717560 816920 932828 948884 1166035 1186105 1865656 1897768 2332070 2372210 2708789 3083873 4664140 4744420 5417578 6167746 9328280 9488840 10835156 12335492 13543945 15419365 21670312 24670984 27087890 28182169 30838730 35214257 54175780 56364338 61677460 70428514 108351560 112728676 123354920 140857028 140910845 176071285 225457352 281714056 281821690 352142570 366368197 563643380 704285140 732736394 1127286760 1408570280 1465472788 1831840985 2930945576 3663681970 4255507519 7327363940 8511015038 14654727880 17022030076 21277537595 34044060152 42555075190 55321597747 85110150380 110643195494 170220300760 221286390988 276607988735 442572781976 553215977470 1106431954940 2212863909880