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232243131304140 = 2235111257892797411
BaseRepresentation
bin110100110011100101010001…
…010101111100100011001100
31010110022020010010121121202220
4310303211101111330203030
5220420032413103213030
62141535004401215340
766630004203344355
oct6463452125744314
91113266103547686
10232243131304140
1167aaa839067590
122206a336931550
139c78582c9c6a8
14414c8add34d2c
151bcb29bb30a10
hexd3395157c8cc

232243131304140 has 96 divisors (see below), whose sum is σ = 709403094247680. Its totient is φ = 56300897452800.

The previous prime is 232243131304109. The next prime is 232243131304141. The reversal of 232243131304140 is 41403131342232.

232243131304140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2322431313041402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (232243131304141) 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, 81622035 + ... + 84419445.

It is an arithmetic number, because the mean of its divisors is an integer number (7389615565080).

Almost surely, 2232243131304140 is an apocalyptic number.

232243131304140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232243131304140 is an abundant number, since it is smaller than the sum of its proper divisors (477159962943540).

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

232243131304140 is a wasteful number, since it uses less digits than its factorization.

232243131304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923223 (or 2923221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 232243131304140 its reverse (41403131342232), we get a palindrome (273646262646372).

The spelling of 232243131304140 in words is "two hundred thirty-two trillion, two hundred forty-three billion, one hundred thirty-one million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 125789 251578 377367 503156 628945 754734 1257890 1383679 1509468 1886835 2515780 2767358 2797411 3773670 4151037 5534716 5594822 6918395 7547340 8302074 8392233 11189644 13836790 13987055 16604148 16784466 20755185 27673580 27974110 30771521 33568932 41510370 41961165 55948220 61543042 83020740 83922330 92314563 123086084 153857605 167844660 184629126 307715210 369258252 461572815 615430420 923145630 1846291260 351883532279 703767064558 1055650596837 1407534129116 1759417661395 2111301193674 3518835322790 3870718855069 4222602387348 5278252984185 7037670645580 7741437710138 10556505968370 11612156565207 15482875420276 19353594275345 21113011936740 23224313130414 38707188550690 46448626260828 58060782826035 77414377101380 116121565652070 232243131304140