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232540114343225 = 52132997254357641
BaseRepresentation
bin110100110111111001110110…
…111010010101010100111001
31010111100121200101121011011212
4310313321312322111110321
5220434414123232440400
62142323242002332505
766660316545463433
oct6467716672252471
91114317611534155
10232540114343225
1168104788269457
12220b79b995a135
139c9a591a58a10
14415d0044d7653
151bd3d7e4ea335
hexd37e76e95539

232540114343225 has 48 divisors (see below), whose sum is σ = 324550176886320. Its totient is φ = 164091200716800.

The previous prime is 232540114343203. The next prime is 232540114343231. The reversal of 232540114343225 is 522343411045232.

It can be written as a sum of positive squares in 24 ways, for example, as 143850374887696 + 88689739455529 = 11993764^2 + 9417523^2 .

It is not a de Polignac number, because 232540114343225 - 214 = 232540114326841 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126264596 + ... + 128093045.

It is an arithmetic number, because the mean of its divisors is an integer number (6761462018465).

Almost surely, 2232540114343225 is an apocalyptic number.

232540114343225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232540114343225 is a deficient number, since it is larger than the sum of its proper divisors (92010062543095).

232540114343225 is a wasteful number, since it uses less digits than its factorization.

232540114343225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254357790 (or 254357785 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 232540114343225 its reverse (522343411045232), we get a palindrome (754883525388457).

The spelling of 232540114343225 in words is "two hundred thirty-two trillion, five hundred forty billion, one hundred fourteen million, three hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 65 97 145 325 377 485 725 1261 1885 2425 2813 6305 9425 14065 31525 36569 70325 182845 914225 254357641 1271788205 3306649333 6358941025 7376371589 16533246665 24672691177 36881857945 82666233325 95892830657 123363455885 184409289725 320744985301 479464153285 616817279425 715508044133 1603724926505 2397320766425 3577540220665 8018624632525 9301604573729 17887701103325 46508022868645 232540114343225