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230430112 = 25111973323
BaseRepresentation
bin11011011110000…
…01010110100000
3121001121001200121
431233001112200
5432442230422
634510530024
75465423623
oct1557012640
9531531617
10230430112
11109087610
1265206914
133897cca3
1422863dba
151536a8c7
hexdbc15a0

230430112 has 48 divisors (see below), whose sum is σ = 497562912. Its totient is φ = 104177920.

The previous prime is 230430103. The next prime is 230430173. The reversal of 230430112 is 211034032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67683 + ... + 71005.

It is an arithmetic number, because the mean of its divisors is an integer number (10365894).

Almost surely, 2230430112 is an apocalyptic number.

230430112 is a gapful number since it is divisible by the number (22) 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 230430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248781456).

230430112 is an abundant number, since it is smaller than the sum of its proper divisors (267132800).

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

230430112 is a wasteful number, since it uses less digits than its factorization.

230430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 230430112 is about 15179.9246374941. The cubic root of 230430112 is about 613.0742520542.

Adding to 230430112 its reverse (211034032), we get a palindrome (441464144).

The spelling of 230430112 in words is "two hundred thirty million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 352 394 788 1576 2167 3152 3323 4334 6304 6646 8668 13292 17336 26584 34672 36553 53168 69344 73106 106336 146212 292424 584848 654631 1169696 1309262 2618524 5237048 7200941 10474096 14401882 20948192 28803764 57607528 115215056 230430112