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230027364 = 22347214489
BaseRepresentation
bin11011011010111…
…11000001100100
3121000211121020000
431231133001210
5432341333424
634454141300
75462125500
oct1555370144
9530747200
10230027364
11108931a66
1265051830
133886b888
142279b300
15152db3c9
hexdb5f064

230027364 has 90 divisors (see below), whose sum is σ = 699562710. Its totient is φ = 65717568.

The previous prime is 230027363. The next prime is 230027377. The reversal of 230027364 is 463720032.

It can be written as a sum of positive squares in only one way, i.e., 158760000 + 71267364 = 12600^2 + 8442^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230027363) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8632 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (7772919).

Almost surely, 2230027364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230027364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349781355).

230027364 is an abundant number, since it is smaller than the sum of its proper divisors (469535346).

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

230027364 is a wasteful number, since it uses less digits than its factorization.

230027364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 230027364 is about 15166.6530256349. The cubic root of 230027364 is about 612.7168647034.

Adding to 230027364 its reverse (463720032), we get a palindrome (693747396).

The spelling of 230027364 in words is "two hundred thirty million, twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 14489 15876 28978 43467 57956 86934 101423 130401 173868 202846 260802 304269 391203 405692 521604 608538 709961 782406 912807 1173609 1217076 1419922 1564812 1825614 2129883 2347218 2738421 2839844 3651228 4259766 4694436 5476842 6389649 8215263 8519532 10953684 12779298 16430526 19168947 25558596 32861052 38337894 57506841 76675788 115013682 230027364