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230045730 = 235193147277
BaseRepresentation
bin11011011011000…
…11100000100010
3121000212112102020
431231203200202
5432342430410
634454402310
75462233155
oct1555434042
9530775366
10230045730
11108944842
1265060396
1338877045
14227a3c9c
15152e1a70
hexdb63822

230045730 has 128 divisors (see below), whose sum is σ = 614891520. Its totient is φ = 54846720.

The previous prime is 230045723. The next prime is 230045737. The reversal of 230045730 is 37540032.

230045730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230045723) and next prime (230045737).

It is a self number, because there is not a number n which added to its sum of digits gives 230045730.

It is not an unprimeable number, because it can be changed into a prime (230045737) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 830352 + ... + 830628.

It is an arithmetic number, because the mean of its divisors is an integer number (4803840).

Almost surely, 2230045730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230045730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307445760).

230045730 is an abundant number, since it is smaller than the sum of its proper divisors (384845790).

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

230045730 is a wasteful number, since it uses less digits than its factorization.

230045730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 230045730 is about 15167.2584866218. The cubic root of 230045730 is about 612.7331712538.

Adding to 230045730 its reverse (37540032), we get a palindrome (267585762).

The spelling of 230045730 in words is "two hundred thirty million, forty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 47 57 62 93 94 95 114 141 155 186 190 235 277 282 285 310 465 470 554 570 589 705 831 893 930 1178 1385 1410 1457 1662 1767 1786 2679 2770 2914 2945 3534 4155 4371 4465 5263 5358 5890 7285 8310 8587 8742 8835 8930 10526 13019 13395 14570 15789 17174 17670 21855 25761 26038 26315 26790 27683 31578 39057 42935 43710 51522 52630 55366 65095 78114 78945 83049 85870 128805 130190 138415 157890 163153 166098 195285 247361 257610 276830 326306 390570 403589 415245 489459 494722 742083 807178 815765 830490 978918 1210767 1236805 1484166 1631530 2017945 2421534 2447295 2473610 3710415 4035890 4894590 6053835 7420830 7668191 12107670 15336382 23004573 38340955 46009146 76681910 115022865 230045730