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2305253006 = 271721394099
BaseRepresentation
bin1000100101100111…
…0101111010001110
312221122201222121222
42021121311322032
514210121044011
61020425323342
7111061220150
oct21131657216
95848658558
102305253006
11a83289781
12544036552
132a9794144
1417c238ad0
15d75acddb
hex89675e8e

2305253006 has 48 divisors (see below), whose sum is σ = 4229232000. Its totient is φ = 922935168.

The previous prime is 2305252951. The next prime is 2305253017. The reversal of 2305253006 is 6003525032.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560345 + ... + 564443.

It is an arithmetic number, because the mean of its divisors is an integer number (88109000).

Almost surely, 22305253006 is an apocalyptic number.

2305253006 is a deficient number, since it is larger than the sum of its proper divisors (1923978994).

2305253006 is a wasteful number, since it uses less digits than its factorization.

2305253006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 2305253006 is about 48013.0503717479. The cubic root of 2305253006 is about 1321.0102852561.

Adding to 2305253006 its reverse (6003525032), we get a palindrome (8308778038).

The spelling of 2305253006 in words is "two billion, three hundred five million, two hundred fifty-three thousand, six".

Divisors: 1 2 7 14 17 34 119 139 238 278 289 578 973 1946 2023 2363 4046 4099 4726 8198 16541 28693 33082 40171 57386 69683 80342 139366 281197 487781 562394 569761 975562 1139522 1184611 2369222 3988327 7976654 8292277 9685937 16584554 19371874 67801559 135603118 164660929 329321858 1152626503 2305253006