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230065320 = 23352383357
BaseRepresentation
bin11011011011010…
…00010010101000
3121000220112021210
431231220102220
5432344042240
634455033120
75462344242
oct1555502250
9530815253
10230065320
11108958531
126506b7a0
1338882c34
14227ab092
15152e7780
hexdb684a8

230065320 has 64 divisors (see below), whose sum is σ = 720213120. Its totient is φ = 58682624.

The previous prime is 230065313. The next prime is 230065349. The reversal of 230065320 is 23560032.

230065320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 38919 + ... + 44438.

It is an arithmetic number, because the mean of its divisors is an integer number (11253330).

Almost surely, 2230065320 is an apocalyptic number.

230065320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230065320 is an abundant number, since it is smaller than the sum of its proper divisors (490147800).

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

230065320 is a wasteful number, since it uses less digits than its factorization.

230065320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83394 (or 83390 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 230065320 is about 15167.9042718498. The cubic root of 230065320 is about 612.7505635960.

The spelling of 230065320 in words is "two hundred thirty million, sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 83357 166714 250071 333428 416785 500142 666856 833570 1000284 1250355 1667140 1917211 2000568 2500710 3334280 3834422 5001420 5751633 7668844 9586055 10002840 11503266 15337688 19172110 23006532 28758165 38344220 46013064 57516330 76688440 115032660 230065320