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330228369025 = 521922322632
BaseRepresentation
bin1001100111000110010…
…01010000011010000001
31011120101011221021112021
410303203021100122001
520402301430302100
6411412124001441
732600236552162
oct4634311203201
91146334837467
10330228369025
1111805a33a365
1254000990281
13251a96017b9
1411da9a35769
1588cb397a1a
hex4ce3250681

330228369025 has 81 divisors (see below), whose sum is σ = 453500459139. Its totient is φ = 238486422240.

The previous prime is 330228369013. The next prime is 330228369041. The reversal of 330228369025 is 520963822033.

The square root of 330228369025 is 574655.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118882212849 + 211346156176 = 344793^2 + 459724^2 .

It is not a de Polignac number, because 330228369025 - 223 = 330219980417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1255621044 + ... + 1255621306.

Almost surely, 2330228369025 is an apocalyptic number.

330228369025 is the 574655-th square number.

330228369025 is the 287328-th centered octagonal number.

It is an amenable number.

330228369025 is a deficient number, since it is larger than the sum of its proper divisors (123272090114).

330228369025 is an equidigital number, since it uses as much as digits as its factorization.

330228369025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 330228369025 in words is "three hundred thirty billion, two hundred twenty-eight million, three hundred sixty-nine thousand, twenty-five".

Divisors: 1 5 19 23 25 95 115 263 361 437 475 529 575 1315 1805 2185 2645 4997 6049 6575 8303 9025 10051 10925 13225 24985 30245 41515 50255 69169 94943 114931 124925 139127 151225 190969 207575 251275 345845 474715 574655 695635 954845 1314211 1590887 1729225 2183689 2373575 2643413 2873275 3478175 4774225 6571055 7954435 10918445 13217065 24970009 30226853 32855275 36590401 39772175 50224847 54592225 66085325 124850045 151134265 182952005 251124235 574310207 624250225 695217619 755671325 914760025 1255621175 2871551035 3476088095 13209134761 14357755175 17380440475 66045673805 330228369025