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230848112 = 24117916603
BaseRepresentation
bin11011100001001…
…11011001110000
3121002101022002002
431300213121300
5433044114422
634523513132
75502114365
oct1560473160
9532338062
10230848112
11109342670
12653887a8
1338a98321
142293246c
15153ee692
hexdc27670

230848112 has 40 divisors (see below), whose sum is σ = 494135040. Its totient is φ = 103596480.

The previous prime is 230848109. The next prime is 230848127. The reversal of 230848112 is 211848032.

230848112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5603 + ... + 22205.

It is an arithmetic number, because the mean of its divisors is an integer number (12353376).

Almost surely, 2230848112 is an apocalyptic number.

230848112 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 230848112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247067520).

230848112 is an abundant number, since it is smaller than the sum of its proper divisors (263286928).

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

230848112 is a wasteful number, since it uses less digits than its factorization.

230848112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16701 (or 16695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 230848112 is about 15193.6865835781. The cubic root of 230848112 is about 613.4447334933. Note that the first 3 decimals are identical.

The spelling of 230848112 in words is "two hundred thirty million, eight hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904 16603 33206 66412 132824 182633 265648 365266 730532 1311637 1461064 2623274 2922128 5246548 10493096 14428007 20986192 28856014 57712028 115424056 230848112