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233433515325340 = 225112634099864191
BaseRepresentation
bin110101000100111001111001…
…110000100111011110011100
31010121112000201001011101200101
4311010321321300213132130
5221044033314410402330
62144245513154110444
7100112005056516661
oct6504717160473634
91117460631141611
10233433515325340
1168419663890460
1222220b8bb7b424
13a0338bc3054c5
144190357301a68
151bec21c5174ca
hexd44e79c2779c

233433515325340 has 96 divisors (see below), whose sum is σ = 538120871608320. Its totient is φ = 84355396339200.

The previous prime is 233433515325331. The next prime is 233433515325403. The reversal of 233433515325340 is 43523515334332.

It is a super-2 number, since 2×2334335153253402 (a number of 30 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, 18732645 + ... + 28596835.

It is an arithmetic number, because the mean of its divisors is an integer number (5605425745920).

Almost surely, 2233433515325340 is an apocalyptic number.

233433515325340 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 233433515325340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269060435804160).

233433515325340 is an abundant number, since it is smaller than the sum of its proper divisors (304687356282980).

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

233433515325340 is a wasteful number, since it uses less digits than its factorization.

233433515325340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864883 (or 9864881 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 46.

The spelling of 233433515325340 in words is "two hundred thirty-three trillion, four hundred thirty-three billion, five hundred fifteen million, three hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 409 526 818 1052 1315 1636 2045 2630 2893 4090 4499 5260 5786 8180 8998 11572 14465 17996 22495 28930 44990 57860 89980 107567 215134 430268 537835 1075670 1183237 2151340 2366474 4732948 5916185 9864191 11832370 19728382 23664740 39456764 49320955 98641910 108506101 197283820 217012202 434024404 542530505 1085061010 2170122020 2594282233 4034454119 5188564466 8068908238 10377128932 12971411165 16137816476 20172270595 25942822330 28537104563 40344541190 44378995309 51885644660 57074209126 80689082380 88757990618 114148418252 142685522815 177515981236 221894976545 285371045630 443789953090 570742091260 887579906180 1061061433297 2122122866594 4244245733188 5305307166485 10610614332970 11671675766267 21221228665940 23343351532534 46686703065068 58358378831335 116716757662670 233433515325340