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231782401 is a prime number
BaseRepresentation
bin11011101000010…
…11100000000001
3121011010202200101
431310023200001
5433314014101
634555522401
75513055304
oct1564134001
9534122611
10231782401
11109920604
1265759401
1339034666
1422ad6b3b
1515536401
hexdd0b801

231782401 has 2 divisors, whose sum is σ = 231782402. Its totient is φ = 231782400.

The previous prime is 231782399. The next prime is 231782407. The reversal of 231782401 is 104287132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220492801 + 11289600 = 14849^2 + 3360^2 .

It is a cyclic number.

It is not a de Polignac number, because 231782401 - 21 = 231782399 is a prime.

Together with 231782399, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 231782401.

It is not a weakly prime, because it can be changed into another prime (231782407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115891200 + 115891201.

It is an arithmetic number, because the mean of its divisors is an integer number (115891201).

Almost surely, 2231782401 is an apocalyptic number.

It is an amenable number.

231782401 is a deficient number, since it is larger than the sum of its proper divisors (1).

231782401 is an equidigital number, since it uses as much as digits as its factorization.

231782401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 231782401 is about 15224.4014989096. The cubic root of 231782401 is about 614.2711978413.

The spelling of 231782401 in words is "two hundred thirty-one million, seven hundred eighty-two thousand, four hundred one".