Search a number
-
+
230574365361 = 32239723114969
BaseRepresentation
bin1101011010111101001…
…1011001101010110001
3211001011010100101000200
43112233103121222301
512234204014142421
6253531400505413
722441563524304
oct3265723315261
9731133311020
10230574365361
118987124444a
123882aa7b269
13189876a5b22
14b23491cb3b
155ee7705726
hex35af4d9ab1

230574365361 has 48 divisors (see below), whose sum is σ = 351337808640. Its totient is φ = 145424885760.

The previous prime is 230574365327. The next prime is 230574365419. The reversal of 230574365361 is 163563475032.

It is a happy number.

230574365361 is a `hidden beast` number, since 2 + 30 + 57 + 4 + 36 + 536 + 1 = 666.

It is not a de Polignac number, because 230574365361 - 222 = 230570171057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230574365761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46400085 + ... + 46405053.

It is an arithmetic number, because the mean of its divisors is an integer number (7319537680).

Almost surely, 2230574365361 is an apocalyptic number.

It is an amenable number.

230574365361 is a deficient number, since it is larger than the sum of its proper divisors (120763443279).

230574365361 is a wasteful number, since it uses less digits than its factorization.

230574365361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 230574365361 in words is "two hundred thirty billion, five hundred seventy-four million, three hundred sixty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 23 69 97 207 291 873 2231 2311 4969 6693 6933 14907 20079 20799 44721 53153 114287 159459 224167 342861 478377 481993 672501 1028583 1445979 2017503 4337937 5155841 11085839 11483359 15467523 33257517 34450077 46402569 99772551 103350231 264117257 792351771 1113885823 2377055313 3341657469 10024972407 25619373929 76858121787 230574365361