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232584522240641 is a prime number
BaseRepresentation
bin110100111000100011001101…
…110101000001001010000001
31010111111212022020220002012012
4310320203031311001022001
5220441131100143200031
62142355504321542305
766663451165414214
oct6470431565011201
91114455266802165
10232584522240641
11681215a638001a
1222104531aa4995
139ca181b0a7aac
14416121827777b
151bd50cce7ab2b
hexd388cdd41281

232584522240641 has 2 divisors, whose sum is σ = 232584522240642. Its totient is φ = 232584522240640.

The previous prime is 232584522240613. The next prime is 232584522240643. The reversal of 232584522240641 is 146042225485232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199030133702416 + 33554388538225 = 14107804^2 + 5792615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232584522240641 is a prime.

It is a super-2 number, since 2×2325845222406412 (a number of 30 digits) contains 22 as substring.

Together with 232584522240643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 232584522240641.

It is not a weakly prime, because it can be changed into another prime (232584522240643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116292261120320 + 116292261120321.

It is an arithmetic number, because the mean of its divisors is an integer number (116292261120321).

Almost surely, 2232584522240641 is an apocalyptic number.

It is an amenable number.

232584522240641 is a deficient number, since it is larger than the sum of its proper divisors (1).

232584522240641 is an equidigital number, since it uses as much as digits as its factorization.

232584522240641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7372800, while the sum is 50.

The spelling of 232584522240641 in words is "two hundred thirty-two trillion, five hundred eighty-four billion, five hundred twenty-two million, two hundred forty thousand, six hundred forty-one".