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230133112 = 231115716657
BaseRepresentation
bin11011011011110…
…00110101111000
3121001000222021121
431231320311320
5432403224422
634500315024
75463046006
oct1555706570
9531028247
10230133112
111089a4460
12650a2a74
13388a7a51
14227c7a76
151530c8c7
hexdb78d78

230133112 has 32 divisors (see below), whose sum is σ = 473753520. Its totient is φ = 103933440.

The previous prime is 230133109. The next prime is 230133143. The reversal of 230133112 is 211331032.

230133112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301331122 = 105922498477609088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5488 + ... + 22144.

Almost surely, 2230133112 is an apocalyptic number.

230133112 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 230133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236876760).

230133112 is an abundant number, since it is smaller than the sum of its proper divisors (243620408).

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

230133112 is a wasteful number, since it uses less digits than its factorization.

230133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16831 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 230133112 is about 15170.1388259963. The cubic root of 230133112 is about 612.8107428917.

Adding to 230133112 its reverse (211331032), we get a palindrome (441464144).

The spelling of 230133112 in words is "two hundred thirty million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 6908 13816 16657 33314 66628 133256 183227 366454 732908 1465816 2615149 5230298 10460596 20921192 28766639 57533278 115066556 230133112