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230458914 = 23278920551
BaseRepresentation
bin11011011110010…
…00011000100010
3121001122112012100
431233020120202
5432444141124
634511311230
75465603610
oct1557103042
9531575170
10230458914
111090a7214
126521b516
133899012a
14228706b0
15153741c9
hexdbc8622

230458914 has 48 divisors (see below), whose sum is σ = 577100160. Its totient is φ = 65102400.

The previous prime is 230458843. The next prime is 230458927. The reversal of 230458914 is 419854032.

It is a super-2 number, since 2×2304589142 = 106222622084118792, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 939 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (12022920).

Almost surely, 2230458914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230458914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288550080).

230458914 is an abundant number, since it is smaller than the sum of its proper divisors (346641246).

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

230458914 is a wasteful number, since it uses less digits than its factorization.

230458914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20655 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 230458914 is about 15180.8732950381. The cubic root of 230458914 is about 613.0997941862.

The spelling of 230458914 in words is "two hundred thirty million, four hundred fifty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1246 1602 1869 3738 5607 11214 20551 41102 61653 123306 143857 184959 287714 369918 431571 863142 1294713 1829039 2589426 3658078 5487117 10974234 12803273 16461351 25606546 32922702 38409819 76819638 115229457 230458914