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232205240042055 = 32571747421957351
BaseRepresentation
bin110100110011000001111110…
…110110010000001001000111
31010110011121022102112001212200
4310303001332312100021013
5220413422312422321210
62141505340432045543
766624163213052460
oct6463017666201107
91113147272461780
10232205240042055
1167a95764475555
1222062b210938b3
139c74b24a77257
14414ab17849d67
151bca2d033a0c0
hexd3307ed90247

232205240042055 has 48 divisors (see below), whose sum is σ = 460250825608704. Its totient is φ = 106090204766400.

The previous prime is 232205240041939. The next prime is 232205240042057. The reversal of 232205240042055 is 550240042502232.

232205240042055 is a `hidden beast` number, since 2 + 3 + 2 + 205 + 2 + 400 + 42 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 232205240042055 - 220 = 232205238993479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205240042057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210428371 + ... + 211528980.

It is an arithmetic number, because the mean of its divisors is an integer number (9588558866848).

Almost surely, 2232205240042055 is an apocalyptic number.

232205240042055 is a deficient number, since it is larger than the sum of its proper divisors (228045585566649).

232205240042055 is a wasteful number, since it uses less digits than its factorization.

232205240042055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421959116 (or 421959113 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 232205240042055 its reverse (550240042502232), we get a palindrome (782445282544287).

The spelling of 232205240042055 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred forty million, forty-two thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1747 5241 8735 12229 15723 26205 36687 61145 78615 110061 183435 550305 421957351 1265872053 2109786755 2953701457 3797616159 6329360265 8861104371 14768507285 18988080795 26583313113 44305521855 132916565565 737159492197 2211478476591 3685797460985 5160116445379 6634435429773 11057392382955 15480349336137 25800582226895 33172177148865 46441048008411 77401746680685 232205240042055