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233203434441340 = 2251153157912666431
BaseRepresentation
bin110101000001100011100111…
…110111101100101001111100
31010120201000211022101110211011
4311001203213313230221330
5221031301113204110330
62143552102342205004
7100056251334336466
oct6501434767545174
91116630738343734
10233203434441340
1168340026160950
12221a447a423764
13a017cb2c416ac
14418316c15d136
151be62532dd82a
hexd418e7deca7c

233203434441340 has 96 divisors (see below), whose sum is σ = 544672789032960. Its totient is φ = 83148526406400.

The previous prime is 233203434441331. The next prime is 233203434441347. The reversal of 233203434441340 is 43144434302332.

It is a junction number, because it is equal to n+sod(n) for n = 233203434441293 and 233203434441302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233203434441347) 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, 12077925 + ... + 24744355.

It is an arithmetic number, because the mean of its divisors is an integer number (5673674885760).

Almost surely, 2233203434441340 is an apocalyptic number.

233203434441340 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 233203434441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272336394516480).

233203434441340 is an abundant number, since it is smaller than the sum of its proper divisors (311469354591620).

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

233203434441340 is a wasteful number, since it uses less digits than its factorization.

233203434441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12668083 (or 12668081 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 233203434441340 its reverse (43144434302332), we get a palindrome (276347868743672).

The spelling of 233203434441340 in words is "two hundred thirty-three trillion, two hundred three billion, four hundred thirty-four million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1579 2332 2915 3158 5830 6316 7895 11660 15790 17369 31580 34738 69476 83687 86845 167374 173690 334748 347380 418435 836870 920557 1673740 1841114 3682228 4602785 9205570 12666431 18411140 25332862 50665724 63332155 126664310 139330741 253328620 278661482 557322964 671320843 696653705 1342641686 1393307410 2685283372 2786614820 3356604215 6713208430 7384529273 13426416860 14769058546 20000294549 29538117092 36922646365 40000589098 73845292730 80001178196 100001472745 147690585460 200002945490 220003240039 400005890980 440006480078 880012960156 1060015611097 1100016200195 2120031222194 2200032400390 4240062444388 4400064800780 5300078055485 10600156110970 11660171722067 21200312221940 23320343444134 46640686888268 58300858610335 116601717220670 233203434441340