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230221122031300 = 225240117213335953
BaseRepresentation
bin110100010110001010001000…
…001100101100111011000100
31010012010220221211102212101111
4310112022020030230323010
5220133420324220000200
62133350042353134404
766330633010200151
oct6426121014547304
91105126854385344
10230221122031300
11673a0258597314
12219a248bb5a404
139b5c9b29ba76a
1440bca943ad228
151b938a67e20ba
hexd1628832cec4

230221122031300 has 72 divisors (see below), whose sum is σ = 501116828548392. Its totient is φ = 91805399040000.

The previous prime is 230221122031297. The next prime is 230221122031301. The reversal of 230221122031300 is 3130221122032.

It can be written as a sum of positive squares in 12 ways, for example, as 4077031335556 + 226144090695744 = 2019166^2 + 15038088^2 .

It is not an unprimeable number, because it can be changed into a prime (230221122031301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67344124 + ... + 70680076.

It is an arithmetic number, because the mean of its divisors is an integer number (6959955952061).

Almost surely, 2230221122031300 is an apocalyptic number.

230221122031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230221122031300 is an abundant number, since it is smaller than the sum of its proper divisors (270895706517092).

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

230221122031300 is a wasteful number, since it uses less digits than its factorization.

230221122031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338089 (or 3338082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 230221122031300 its reverse (3130221122032), we get a palindrome (233351343153332).

The spelling of 230221122031300 in words is "two hundred thirty trillion, two hundred twenty-one billion, one hundred twenty-two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1604 1721 2005 3442 4010 6884 8020 8605 10025 17210 20050 34420 40100 43025 86050 172100 690121 1380242 2760484 3335953 3450605 6671906 6901210 13343812 13802420 16679765 17253025 33359530 34506050 66719060 69012100 83398825 166797650 333595300 1337717153 2675434306 5350868612 5741175113 6688585765 11482350226 13377171530 22964700452 26754343060 28705875565 33442928825 57411751130 66885857650 114823502260 133771715300 143529377825 287058755650 574117511300 2302211220313 4604422440626 9208844881252 11511056101565 23022112203130 46044224406260 57555280507825 115110561015650 230221122031300