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230042310 = 235191912113
BaseRepresentation
bin11011011011000…
…10101011000110
3121000212100201120
431231202223012
5432342323220
634454334410
75462220201
oct1555425306
9530770646
10230042310
11108942213
126505a406
1338875614
14227a2938
15152e0a40
hexdb62ac6

230042310 has 64 divisors (see below), whose sum is σ = 584478720. Its totient is φ = 57784320.

The previous prime is 230042273. The next prime is 230042311. The reversal of 230042310 is 13240032.

It is a super-2 number, since 2×2300423102 = 105838928780272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230042310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230042311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107814 + ... + 109926.

It is an arithmetic number, because the mean of its divisors is an integer number (9132480).

Almost surely, 2230042310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230042310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292239360).

230042310 is an abundant number, since it is smaller than the sum of its proper divisors (354436410).

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

230042310 is a wasteful number, since it uses less digits than its factorization.

230042310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230042310 is about 15167.1457433493. The cubic root of 230042310 is about 612.7301348172.

Adding to 230042310 its reverse (13240032), we get a palindrome (243282342).

The spelling of 230042310 in words is "two hundred thirty million, forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 191 285 382 570 573 955 1146 1910 2113 2865 3629 4226 5730 6339 7258 10565 10887 12678 18145 21130 21774 31695 36290 40147 54435 63390 80294 108870 120441 200735 240882 401470 403583 602205 807166 1204410 1210749 2017915 2421498 4035830 6053745 7668077 12107490 15336154 23004231 38340385 46008462 76680770 115021155 230042310