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220042202233024 = 2631713146949639
BaseRepresentation
bin110010000010000010010001…
…010011001011100011000000
31001212002211101102001010111201
4302002002101103023203000
5212320132412232424044
62055553554151550544
764230344620366603
oct6202022123134300
91055084342033451
10220042202233024
1164126412743716
12208197a038b454
1395a1b76959022
143c4a156b0c33a
151a68c08e1a7d4
hexc820914cb8c0

220042202233024 has 112 divisors (see below), whose sum is σ = 457103673446400. Its totient is φ = 104966976844800.

The previous prime is 220042202233019. The next prime is 220042202233067. The reversal of 220042202233024 is 420332202240022.

It is a junction number, because it is equal to n+sod(n) for n = 220042202232983 and 220042202233001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4432824397 + ... + 4432874035.

Almost surely, 2220042202233024 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 220042202233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228551836723200).

220042202233024 is an abundant number, since it is smaller than the sum of its proper divisors (237061471213376).

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

220042202233024 is a wasteful number, since it uses less digits than its factorization.

220042202233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81222 (or 81212 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 220042202233024 its reverse (420332202240022), we get a palindrome (640374404473046).

The spelling of 220042202233024 in words is "two hundred twenty trillion, forty-two billion, two hundred two million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 142 248 284 496 568 992 1136 1984 2201 2272 4402 4544 8804 17608 31469 35216 49639 62938 70432 99278 125876 140864 198556 251752 397112 503504 794224 975539 1007008 1538809 1588448 1951078 2014016 2234299 3077618 3176896 3524369 3902156 4468598 6155236 7048738 7804312 8937196 12310472 14097476 15608624 17874392 24620944 28194952 31217248 35748784 49241888 56389904 62434496 69263269 71497568 98483776 109255439 112779808 138526538 142995136 218510878 225559616 277053076 437021756 554106152 874043512 1108212304 1562089691 1748087024 2216424608 3124179382 3496174048 4432849216 6248358764 6992348096 12496717528 24993435056 48424780421 49986870112 96849560842 99973740224 110908368061 193699121684 221816736122 387398243368 443633472244 774796486736 887266944488 1549592973472 1774533888976 3099185946944 3438159409891 3549067777952 6876318819782 7098135555904 13752637639564 27505275279128 55010550558256 110021101116512 220042202233024