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BaseRepresentation
bin11011011011100…
…10011111100000
3121000222122121100
431231302133200
5432401411404
634455554400
75462610123
oct1555623740
9530878540
10230107104
11108986967
126508ba00
1338898c66
14227bc3ba
1515304d39
hexdb727e0

230107104 has 144 divisors (see below), whose sum is σ = 709620912. Its totient is φ = 70447104.

The previous prime is 230107093. The next prime is 230107117. The reversal of 230107104 is 401701032.

Adding to 230107104 its reverse (401701032), we get a palindrome (631808136).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2301071042 = 105898558622533632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209982 + ... + 211074.

It is an arithmetic number, because the mean of its divisors is an integer number (4927923).

Almost surely, 2230107104 is an apocalyptic number.

230107104 is a gapful number since it is divisible by the number (24) 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 230107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354810456).

230107104 is an abundant number, since it is smaller than the sum of its proper divisors (479513808).

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

230107104 is a wasteful number, since it uses less digits than its factorization.

230107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 230107104 is about 15169.2815914268. The cubic root of 230107104 is about 612.7876568581.

The spelling of 230107104 in words is "two hundred thirty million, one hundred seven thousand, one hundred four".