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230839168 = 277534861
BaseRepresentation
bin11011100001001…
…01001110000000
3121002100211210211
431300211032000
5433043323133
634523403504
75502046330
oct1560451600
9532324724
10230839168
1110933697a
1265383594
1338a94231
142292d0c0
15153ebbcd
hexdc25380

230839168 has 64 divisors (see below), whose sum is σ = 535597920. Its totient is φ = 97044480.

The previous prime is 230839163. The next prime is 230839183. The reversal of 230839168 is 861938032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 230839168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230839163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45058 + ... + 49918.

Almost surely, 2230839168 is an apocalyptic number.

230839168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230839168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267798960).

230839168 is an abundant number, since it is smaller than the sum of its proper divisors (304758752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230839168 is an equidigital number, since it uses as much as digits as its factorization.

230839168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 230839168 is about 15193.3922479478. The cubic root of 230839168 is about 613.4368109383.

The spelling of 230839168 in words is "two hundred thirty million, eight hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 4861 5936 6784 9722 11872 19444 23744 34027 38888 47488 68054 77776 136108 155552 257633 272216 311104 515266 544432 622208 1030532 1088864 1803431 2061064 2177728 3606862 4122128 4355456 7213724 8244256 14427448 16488512 28854896 32977024 57709792 115419584 230839168