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230116833 = 32229111653
BaseRepresentation
bin11011011011101…
…00110111100001
3121001000010221200
431231310313201
5432402214313
634500111413
75462650362
oct1555646741
9531003850
10230116833
11108993201
1265095569
13388a050b
14227c1b69
1515307b73
hexdb74de1

230116833 has 12 divisors (see below), whose sum is σ = 333845460. Its totient is φ = 152739936.

The previous prime is 230116829. The next prime is 230116837. The reversal of 230116833 is 338611032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230116829) and next prime (230116837).

It can be written as a sum of positive squares in 2 ways, for example, as 162103824 + 68013009 = 12732^2 + 8247^2 .

It is not a de Polignac number, because 230116833 - 22 = 230116829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230116797 and 230116806.

It is not an unprimeable number, because it can be changed into a prime (230116837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53766 + ... + 57887.

It is an arithmetic number, because the mean of its divisors is an integer number (27820455).

Almost surely, 2230116833 is an apocalyptic number.

It is an amenable number.

230116833 is a deficient number, since it is larger than the sum of its proper divisors (103728627).

230116833 is a wasteful number, since it uses less digits than its factorization.

230116833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111888 (or 111885 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230116833 is about 15169.6022690115. The cubic root of 230116833 is about 612.7962930207.

Adding to 230116833 its reverse (338611032), we get a palindrome (568727865).

The spelling of 230116833 in words is "two hundred thirty million, one hundred sixteen thousand, eight hundred thirty-three".

Divisors: 1 3 9 229 687 2061 111653 334959 1004877 25568537 76705611 230116833