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230045310 = 2325112310103
BaseRepresentation
bin11011011011000…
…11011001111110
3121000212111211200
431231203121332
5432342422220
634454400330
75462232015
oct1555433176
9530774750
10230045310
111089444a0
12650600a6
1338876ab1
14227a3a7c
15152e1890
hexdb6367e

230045310 has 96 divisors (see below), whose sum is σ = 680928768. Its totient is φ = 53338560.

The previous prime is 230045273. The next prime is 230045359. The reversal of 230045310 is 13540032.

It is a super-2 number, since 2×2300453102 = 105841689305992200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17719 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (7093008).

Almost surely, 2230045310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230045310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340464384).

230045310 is an abundant number, since it is smaller than the sum of its proper divisors (450883458).

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

230045310 is a wasteful number, since it uses less digits than its factorization.

230045310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230045310 is about 15167.2446410019. The cubic root of 230045310 is about 612.7327983597.

Adding to 230045310 its reverse (13540032), we get a palindrome (243585342).

The spelling of 230045310 in words is "two hundred thirty million, forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 10103 11385 20206 22770 30309 50515 60618 90927 101030 111133 151545 181854 222266 232369 303090 333399 454635 464738 555665 666798 697107 909270 1000197 1111330 1161845 1394214 1666995 2000394 2091321 2323690 2556059 3333990 3485535 4182642 5000985 5112118 6971070 7668177 10001970 10456605 12780295 15336354 20913210 23004531 25560590 38340885 46009062 76681770 115022655 230045310