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223023030332300 = 2252117118115776843
BaseRepresentation
bin110010101101011010011000…
…011111111110101110001100
31002020122210102102222221100122
4302231122120133332232030
5213213002131231113200
62110155210555044112
764655611412234462
oct6255323037765614
91066583372887318
10223023030332300
1165075599473640
122101b435740638
139759c9b521c73
143d1052d6c0832
151abb51a46b385
hexcad6987feb8c

223023030332300 has 144 divisors (see below), whose sum is σ = 538350344872704. Its totient is φ = 79515283680000.

The previous prime is 223023030332279. The next prime is 223023030332303. The reversal of 223023030332300 is 3233030320322.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 223023030332300.

It is not an unprimeable number, because it can be changed into a prime (223023030332303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6247679 + ... + 22024521.

It is an arithmetic number, because the mean of its divisors is an integer number (3738544061616).

Almost surely, 2223023030332300 is an apocalyptic number.

223023030332300 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 223023030332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269175172436352).

223023030332300 is an abundant number, since it is smaller than the sum of its proper divisors (315327314540404).

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

223023030332300 is a wasteful number, since it uses less digits than its factorization.

223023030332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777120 (or 15777113 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 26.

Adding to 223023030332300 its reverse (3233030320322), we get a palindrome (226256060652622).

The spelling of 223023030332300 in words is "two hundred twenty-three trillion, twenty-three billion, thirty million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 181 220 275 284 355 362 550 710 724 781 905 1100 1420 1562 1775 1810 1991 3124 3550 3620 3905 3982 4525 7100 7810 7964 9050 9955 12851 15620 18100 19525 19910 25702 39050 39820 49775 51404 64255 78100 99550 128510 141361 199100 257020 282722 321275 565444 642550 706805 1285100 1413610 2827220 3534025 7068050 14136100 15776843 31553686 63107372 78884215 157768430 173545273 315536860 347090546 394421075 694181092 788842150 867726365 1120155853 1577684300 1735452730 2240311706 2855608583 3470905460 4338631825 4480623412 5600779265 5711217166 8677263650 11201558530 11422434332 12321714383 14278042915 17354527300 22403117060 24643428766 28003896325 28556085830 31411694413 49286857532 56007792650 57112171660 61608571915 62823388826 71390214575 112015585300 123217143830 125646777652 142780429150 157058472065 202748209393 246434287660 285560858300 308042859575 314116944130 405496418786 616085719150 628233888260 785292360325 810992837572 1013741046965 1232171438300 1570584720650 2027482093930 2230230303323 3141169441300 4054964187860 4460460606646 5068705234825 8920921213292 10137410469650 11151151516615 20274820939300 22302303033230 44604606066460 55755757583075 111511515166150 223023030332300