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230011340 = 2251319101461
BaseRepresentation
bin11011011010110…
…11000111001100
3121000210210020112
431231123013030
5432340330330
634453535152
75462030666
oct1555330714
9530723215
10230011340
11108920a19
12650444b8
13388644b0
1422795536
15152d6795
hexdb5b1cc

230011340 has 96 divisors (see below), whose sum is σ = 554178240. Its totient is φ = 79488000.

The previous prime is 230011319. The next prime is 230011349. The reversal of 230011340 is 43110032.

It is not an unprimeable number, because it can be changed into a prime (230011349) 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, 498710 + ... + 499170.

It is an arithmetic number, because the mean of its divisors is an integer number (5772690).

Almost surely, 2230011340 is an apocalyptic number.

230011340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277089120).

230011340 is an abundant number, since it is smaller than the sum of its proper divisors (324166900).

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

230011340 is a wasteful number, since it uses less digits than its factorization.

230011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 230011340 is about 15166.1247522233. The cubic root of 230011340 is about 612.7026368265.

Adding to 230011340 its reverse (43110032), we get a palindrome (273121372).

The spelling of 230011340 in words is "two hundred thirty million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 101 130 190 202 247 260 380 404 461 494 505 922 988 1010 1235 1313 1844 1919 2020 2305 2470 2626 3838 4610 4940 5252 5993 6565 7676 8759 9220 9595 11986 13130 17518 19190 23972 24947 26260 29965 35036 38380 43795 46561 49894 59930 87590 93122 99788 113867 119860 124735 175180 186244 227734 232805 249470 455468 465610 498940 569335 605293 884659 931220 1138670 1210586 1769318 2277340 2421172 3026465 3538636 4423295 6052930 8846590 11500567 12105860 17693180 23001134 46002268 57502835 115005670 230011340