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230861106 = 23272716761
BaseRepresentation
bin11011100001010…
…10100100110010
3121002101221220100
431300222210302
5433100023411
634524053230
75502200310
oct1560524462
9532357810
10230861106
11109351403
1265394216
1338aa1208
14229370b0
1515403456
hexdc2a932

230861106 has 48 divisors (see below), whose sum is σ = 573850368. Its totient is φ = 65707200.

The previous prime is 230861101. The next prime is 230861107. The reversal of 230861106 is 601168032.

230861106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230861106.

It is not an unprimeable number, because it can be changed into a prime (230861101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30766 + ... + 37526.

It is an arithmetic number, because the mean of its divisors is an integer number (11955216).

Almost surely, 2230861106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230861106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286925184).

230861106 is an abundant number, since it is smaller than the sum of its proper divisors (342989262).

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

230861106 is a wasteful number, since it uses less digits than its factorization.

230861106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 230861106 is about 15194.1141893827. The cubic root of 230861106 is about 613.4562431554.

The spelling of 230861106 in words is "two hundred thirty million, eight hundred sixty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2439 3794 4878 5691 6761 11382 13522 17073 20283 34146 40566 47327 60849 94654 121698 141981 283962 425943 851886 1832231 3664462 5496693 10993386 12825617 16490079 25651234 32980158 38476851 76953702 115430553 230861106