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230230350 = 2355272707
BaseRepresentation
bin11011011100100…
…00100101001110
3121001012220200000
431232100211032
5432414332400
634502345130
75463632340
oct1556204516
9531186600
10230230350
11108a60519
126512b1a6
133891009c
1422811290
151532b600
hexdb9094e

230230350 has 144 divisors (see below), whose sum is σ = 733369728. Its totient is φ = 52604640.

The previous prime is 230230339. The next prime is 230230369. The reversal of 230230350 is 53032032.

230230350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302303502 = 106012028122245000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83697 + ... + 86403.

Almost surely, 2230230350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230230350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366684864).

230230350 is an abundant number, since it is smaller than the sum of its proper divisors (503139378).

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

230230350 is a wasteful number, since it uses less digits than its factorization.

230230350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 230230350 is about 15173.3434021642. The cubic root of 230230350 is about 612.8970409184.

Adding to 230230350 its reverse (53032032), we get a palindrome (283262382).

The spelling of 230230350 in words is "two hundred thirty million, two hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1890 2025 2430 2707 2835 3150 3402 4050 4725 5414 5670 6075 8121 8505 9450 12150 13535 14175 16242 17010 18949 24363 27070 28350 37898 40605 42525 48726 56847 67675 73089 81210 85050 94745 113694 121815 135350 146178 170541 189490 203025 219267 243630 284235 341082 365445 406050 438534 473725 511623 568470 609075 657801 730890 852705 947450 1023246 1096335 1218150 1315602 1421175 1534869 1705410 1827225 2192670 2558115 2842350 3069738 3289005 3654450 4263525 4604607 5116230 5481675 6578010 7674345 8527050 9209214 10963350 12790575 15348690 16445025 23023035 25581150 32890050 38371725 46046070 76743450 115115175 230230350