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231430401 = 321761137181
BaseRepresentation
bin11011100101101…
…01100100000001
3121010110212211100
431302311210001
5433221233101
634544205013
75510061126
oct1562654401
9533425740
10231430401
111097000a4
1265609769
1338c40387
1422a4474d
15154b6e86
hexdcb5901

231430401 has 48 divisors (see below), whose sum is σ = 364382928. Its totient is φ = 141004800.

The previous prime is 231430399. The next prime is 231430417. The reversal of 231430401 is 104034132.

231430401 is a `hidden beast` number, since 231 + 4 + 30 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43877376 + 187553025 = 6624^2 + 13695^2 .

It is not a de Polignac number, because 231430401 - 21 = 231430399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (231430471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278531 + ... + 1278711.

It is an arithmetic number, because the mean of its divisors is an integer number (7591311).

Almost surely, 2231430401 is an apocalyptic number.

It is an amenable number.

231430401 is a deficient number, since it is larger than the sum of its proper divisors (132952527).

231430401 is a wasteful number, since it uses less digits than its factorization.

231430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 231430401 is about 15212.8367177197. The cubic root of 231430401 is about 613.9600827463.

Adding to 231430401 its reverse (104034132), we get a palindrome (335464533).

The spelling of 231430401 in words is "two hundred thirty-one million, four hundred thirty thousand, four hundred one".

Divisors: 1 3 9 17 51 61 137 153 181 183 411 543 549 1037 1233 1629 2329 3077 3111 6987 8357 9231 9333 11041 20961 24797 25071 27693 33123 74391 75213 99369 142069 187697 223173 421549 426207 563091 1264647 1278621 1512617 1689273 3793941 4537851 13613553 25714489 77143467 231430401