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230500872 = 233273114753
BaseRepresentation
bin11011011110100…
…10101000001000
3121001201122202100
431233102220020
5433002011442
634512233400
75466140130
oct1557225010
9531648670
10230500872
11109125798
126523b860
13389a6264
1422881ac0
151538184c
hexdbd2a08

230500872 has 96 divisors (see below), whose sum is σ = 736519680. Its totient is φ = 63728640.

The previous prime is 230500859. The next prime is 230500957. The reversal of 230500872 is 278005032.

230500872 is digitally balanced in base 3, 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 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, 8248 + ... + 23000.

It is an arithmetic number, because the mean of its divisors is an integer number (7672080).

Almost surely, 2230500872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230500872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368259840).

230500872 is an abundant number, since it is smaller than the sum of its proper divisors (506018808).

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

230500872 is a wasteful number, since it uses less digits than its factorization.

230500872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14803 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 230500872 is about 15182.2551684524. The cubic root of 230500872 is about 613.1369994877.

The spelling of 230500872 in words is "two hundred thirty million, five hundred thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 14753 15624 29506 44259 59012 88518 103271 118024 132777 177036 206542 265554 309813 354072 413084 457343 531108 619626 826168 914686 929439 1062216 1239252 1372029 1829372 1858878 2478504 2744058 3201401 3658744 3717756 4116087 5488116 6402802 7435512 8232174 9604203 10976232 12805604 16464348 19208406 25611208 28812609 32928696 38416812 57625218 76833624 115250436 230500872