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230640641 = 7112317859
BaseRepresentation
bin11011011111101…
…00110000000001
3121001222202110222
431233310300001
5433021000031
634515232425
75500261460
oct1557646001
9531882428
10230640641
11109210800
12652a8715
1338a24a6a
14228ba9d7
15153ace7b
hexdbf4c01

230640641 has 24 divisors (see below), whose sum is σ = 290982720. Its totient is φ = 178944480.

The previous prime is 230640611. The next prime is 230640643. The reversal of 230640641 is 146046032.

230640641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230640641 - 214 = 230624257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230640641.

It is not an unprimeable number, because it can be changed into a prime (230640643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268070 + ... + 268928.

It is an arithmetic number, because the mean of its divisors is an integer number (12124280).

Almost surely, 2230640641 is an apocalyptic number.

It is an amenable number.

230640641 is a deficient number, since it is larger than the sum of its proper divisors (60342079).

230640641 is a wasteful number, since it uses less digits than its factorization.

230640641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 230640641 is about 15186.8575090438. The cubic root of 230640641 is about 613.2609039063.

Adding to 230640641 its reverse (146046032), we get a palindrome (376686673).

The spelling of 230640641 in words is "two hundred thirty million, six hundred forty thousand, six hundred forty-one".

Divisors: 1 7 11 77 121 317 847 859 2219 3487 6013 9449 24409 38357 66143 103939 268499 272303 727573 1906121 2995333 20967331 32948663 230640641