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230011145 = 57213257281
BaseRepresentation
bin11011011010110…
…11000100001001
3121000210202222022
431231123010021
5432340324040
634453534225
75462030300
oct1555330411
9530722868
10230011145
11108920861
1265044375
1338864390
1422795437
15152d66b5
hexdb5b109

230011145 has 48 divisors (see below), whose sum is σ = 348355728. Its totient is φ = 144506880.

The previous prime is 230011127. The next prime is 230011147. The reversal of 230011145 is 541110032.

230011145 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 8 ways, for example, as 5400976 + 224610169 = 2324^2 + 14987^2 .

It is not a de Polignac number, because 230011145 - 222 = 225816841 is a prime.

It is a super-2 number, since 2×2300111452 = 105810253648422050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230011147) 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, 818405 + ... + 818685.

It is an arithmetic number, because the mean of its divisors is an integer number (7257411).

Almost surely, 2230011145 is an apocalyptic number.

It is an amenable number.

230011145 is a deficient number, since it is larger than the sum of its proper divisors (118344583).

230011145 is a wasteful number, since it uses less digits than its factorization.

230011145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 230011145 is about 15166.1183234208. The cubic root of 230011145 is about 612.7024636799.

Adding to 230011145 its reverse (541110032), we get a palindrome (771121177).

The spelling of 230011145 in words is "two hundred thirty million, eleven thousand, one hundred forty-five".

Divisors: 1 5 7 13 35 49 65 91 245 257 281 455 637 1285 1405 1799 1967 3185 3341 3653 8995 9835 12593 13769 16705 18265 23387 25571 62965 68845 72217 116935 127855 163709 178997 361085 505519 818545 894985 938821 2527595 3538633 4694105 6571747 17693165 32858735 46002229 230011145