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233030221320 = 233513386338669
BaseRepresentation
bin1101100100000110101…
…1101111111000001000
3211021111021110210001210
43121001223233320020
512304221214040240
6255015210213120
722556464125231
oct3310153577010
9737437423053
10233030221320
118a911537376
12391b54241a0
1318c8941a430
14b3c8b5c088
1560dd111780
hex3641aefe08

233030221320 has 128 divisors (see below), whose sum is σ = 753081235200. Its totient is φ = 57344953344.

The previous prime is 233030221313. The next prime is 233030221321. The reversal of 233030221320 is 23122030332.

233030221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233030221321) by changing a digit.

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, 6006946 + ... + 6045614.

It is an arithmetic number, because the mean of its divisors is an integer number (5883447150).

Almost surely, 2233030221320 is an apocalyptic number.

233030221320 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 233030221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376540617600).

233030221320 is an abundant number, since it is smaller than the sum of its proper divisors (520051013880).

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

233030221320 is a wasteful number, since it uses less digits than its factorization.

233030221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42559 (or 42555 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233030221320 its reverse (23122030332), we get a palindrome (256152251652).

The spelling of 233030221320 in words is "two hundred thirty-three billion, thirty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3863 7726 11589 15452 19315 23178 30904 38630 38669 46356 50219 57945 77260 77338 92712 100438 115890 116007 150657 154520 154676 193345 200876 231780 232014 251095 301314 309352 386690 401752 463560 464028 502190 502697 580035 602628 753285 773380 928056 1004380 1005394 1160070 1205256 1506570 1508091 1546760 2008760 2010788 2320140 2513485 3013140 3016182 4021576 4640280 5026970 6026280 6032364 7540455 10053940 12064728 15080910 20107880 30161820 60323640 149378347 298756694 448135041 597513388 746891735 896270082 1195026776 1493783470 1792540164 1941918511 2240675205 2987566940 3585080328 3883837022 4481350410 5825755533 5975133880 7767674044 8962700820 9709592555 11651511066 15535348088 17925401640 19419185110 23303022132 29128777665 38838370220 46606044264 58257555330 77676740440 116515110660 233030221320