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230240142 = 232113113739
BaseRepresentation
bin11011011100100…
…10111110001110
3121001020102002200
431232102332032
5432420141032
634502502330
75464003026
oct1556227616
9531212080
10230240142
11108a67910
12651349a6
1338914692
1422814a86
151532e47c
hexdb92f8e

230240142 has 48 divisors (see below), whose sum is σ = 546099840. Its totient is φ = 69526800.

The previous prime is 230240137. The next prime is 230240147. The reversal of 230240142 is 241042032.

It is an interprime number because it is at equal distance from previous prime (230240137) and next prime (230240147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230240147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59709 + ... + 63447.

It is an arithmetic number, because the mean of its divisors is an integer number (11377080).

Almost surely, 2230240142 is an apocalyptic number.

230240142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230240142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273049920).

230240142 is an abundant number, since it is smaller than the sum of its proper divisors (315859698).

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

230240142 is a wasteful number, since it uses less digits than its factorization.

230240142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230240142 is about 15173.6660698725. Note that the first 3 decimals coincide. The cubic root of 230240142 is about 612.9057299014.

Adding to 230240142 its reverse (241042032), we get a palindrome (471282174).

The spelling of 230240142 in words is "two hundred thirty million, two hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 311 622 933 1866 2799 3421 3739 5598 6842 7478 10263 11217 20526 22434 30789 33651 41129 61578 67302 82258 123387 246774 370161 740322 1162829 2325658 3488487 6976974 10465461 12791119 20930922 25582238 38373357 76746714 115120071 230240142