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232652840281 = 17416692
BaseRepresentation
bin1101100010101100110…
…0001001110101011001
3211020111222100211121021
43120223030021311121
512302433111342111
6254513525442441
722544232341041
oct3305314116531
9736458324537
10232652840281
118a738510414
123910ab70421
1318c29198344
14b3909a4721
1560b9e19d71
hex362b309d59

232652840281 has 15 divisors (see below), whose sum is σ = 247341666171. Its totient is φ = 218836182336.

The previous prime is 232652840269. The next prime is 232652840291. The reversal of 232652840281 is 182048256232.

The square root of 232652840281 is 482341.

It is a perfect power (a square), and thus also a powerful number.

232652840281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5981630281 + 226671210000 = 77341^2 + 476100^2 .

It is not a de Polignac number, because 232652840281 - 25 = 232652840249 is a prime.

It is a super-2 number, since 2×2326528402812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232652840221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 139395715 + ... + 139397383.

Almost surely, 2232652840281 is an apocalyptic number.

232652840281 is the 482341-st square number.

232652840281 is the 241171-st centered octagonal number.

It is an amenable number.

232652840281 is a deficient number, since it is larger than the sum of its proper divisors (14688825890).

232652840281 is an frugal number, since it uses more digits than its factorization.

232652840281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 232652840281 in words is "two hundred thirty-two billion, six hundred fifty-two million, eight hundred forty thousand, two hundred eighty-one".

Divisors: 1 17 289 1669 4913 28373 83521 482341 2785561 8199797 47354537 139396549 805027129 13685461193 232652840281