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30605982225 = 35271325717449
BaseRepresentation
bin11100100000010000…
…100011101000010001
32220222222112222201020
4130200100203220101
51000140112412400
622021000230053
72132305361610
oct344020435021
986888488636
1030605982225
1111a86308495
125b21a6b329
132b69aa6870
1416a4b0b877
15be1e292a0
hex720423a11

30605982225 has 96 divisors (see below), whose sum is σ = 62525164800. Its totient is φ = 12864061440.

The previous prime is 30605982203. The next prime is 30605982241. The reversal of 30605982225 is 52228950603.

It is not a de Polignac number, because 30605982225 - 29 = 30605981713 is a prime.

It is a super-2 number, since 2×306059822252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1745301 + ... + 1762749.

It is an arithmetic number, because the mean of its divisors is an integer number (651303800).

Almost surely, 230605982225 is an apocalyptic number.

30605982225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30605982225 is an abundant number, since it is smaller than the sum of its proper divisors (31919182575).

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

30605982225 is a wasteful number, since it uses less digits than its factorization.

30605982225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17739 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 30605982225 in words is "thirty billion, six hundred five million, nine hundred eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 257 273 325 455 525 771 975 1285 1365 1799 2275 3341 3855 5397 6425 6825 8995 10023 16705 17449 19275 23387 26985 44975 50115 52347 70161 83525 87245 116935 122143 134925 226837 250575 261735 350805 366429 436225 584675 610715 680511 1134185 1308675 1587859 1754025 1832145 3053575 3402555 4484393 4763577 5670925 7939295 9160725 13453179 17012775 22421965 23817885 31390751 39696475 58297109 67265895 94172253 112109825 119089425 156953755 174891327 291485545 336329475 408079763 470861265 784768775 874456635 1224239289 1457427725 2040398815 2354306325 4372283175 6121196445 10201994075 30605982225