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230540335320 = 233523499167393
BaseRepresentation
bin1101011010110101000…
…1100101100011011000
3211001001202022110120210
43112231101211203120
512234121311212240
6253524143251120
722441001342331
oct3265521454330
9731052273523
10230540335320
1189854011149
123881b5a9aa0
131898061c6c9
14b2301c1288
155ee4732780
hex35ad4658d8

230540335320 has 128 divisors (see below), whose sum is σ = 723142080000. Its totient is φ = 58686296064.

The previous prime is 230540335307. The next prime is 230540335331. The reversal of 230540335320 is 23533045032.

230540335320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293544 + ... + 1460936.

It is an arithmetic number, because the mean of its divisors is an integer number (5649547500).

Almost surely, 2230540335320 is an apocalyptic number.

230540335320 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 230540335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361571040000).

230540335320 is an abundant number, since it is smaller than the sum of its proper divisors (492601744680).

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

230540335320 is a wasteful number, since it uses less digits than its factorization.

230540335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167929 (or 167925 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 230540335320 in words is "two hundred thirty billion, five hundred forty million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 499 552 690 920 998 1380 1497 1996 2495 2760 2994 3992 4990 5988 7485 9980 11477 11976 14970 19960 22954 29940 34431 45908 57385 59880 68862 91816 114770 137724 167393 172155 229540 275448 334786 344310 459080 502179 669572 688620 836965 1004358 1339144 1377240 1673930 2008716 2510895 3347860 3850039 4017432 5021790 6695720 7700078 10043580 11550117 15400156 19250195 20087160 23100234 30800312 38500390 46200468 57750585 77000780 83529107 92400936 115501170 154001560 167058214 231002340 250587321 334116428 417645535 462004680 501174642 668232856 835291070 1002349284 1252936605 1670582140 1921169461 2004698568 2505873210 3341164280 3842338922 5011746420 5763508383 7684677844 9605847305 10023492840 11527016766 15369355688 19211694610 23054033532 28817541915 38423389220 46108067064 57635083830 76846778440 115270167660 230540335320