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230431757 = 535921249
BaseRepresentation
bin11011011110000…
…01110000001101
3121001121010221112
431233001300031
5432442304012
634510541405
75465431463
oct1557016015
9531533845
10230431757
11109088876
1265207865
133898096a
1422864833
151536b122
hexdbc1c0d

230431757 has 12 divisors (see below), whose sum is σ = 239017500. Its totient is φ = 222074112.

The previous prime is 230431723. The next prime is 230431781. The reversal of 230431757 is 757134032.

230431757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131010916 + 99420841 = 11446^2 + 9971^2 .

It is not a de Polignac number, because 230431757 - 214 = 230415373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230430757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183869 + ... + 185117.

It is an arithmetic number, because the mean of its divisors is an integer number (19918125).

Almost surely, 2230431757 is an apocalyptic number.

It is an amenable number.

230431757 is a deficient number, since it is larger than the sum of its proper divisors (8585743).

230431757 is an equidigital number, since it uses as much as digits as its factorization.

230431757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 230431757 is about 15179.9788208021. The cubic root of 230431757 is about 613.0757109271.

Adding to 230431757 its reverse (757134032), we get a palindrome (987565789).

The spelling of 230431757 in words is "two hundred thirty million, four hundred thirty-one thousand, seven hundred fifty-seven".

Divisors: 1 53 59 1249 3127 3481 66197 73691 184493 3905623 4347769 230431757