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2305051225 = 52296152121
BaseRepresentation
bin1000100101100100…
…0100101001011001
312221122100201211121
42021121010221121
514210043114400
61020421125241
7111056416651
oct21131045131
95848321747
102305051225
11a83161114
12543b59821
132a9723349
1417c1c5361
15d756d21a
hex89644a59

2305051225 has 24 divisors (see below), whose sum is σ = 3005354520. Its totient is φ = 1751232000.

The previous prime is 2305051223. The next prime is 2305051289. The reversal of 2305051225 is 5221505032.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 961682121 + 1343369104 = 31011^2 + 36652^2 .

It is not a de Polignac number, because 2305051225 - 21 = 2305051223 is a prime.

It is a super-2 number, since 2×23050512252 = 10626522299748001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 2305051225.

It is not an unprimeable number, because it can be changed into a prime (2305051223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18165 + ... + 70285.

It is an arithmetic number, because the mean of its divisors is an integer number (125223105).

Almost surely, 22305051225 is an apocalyptic number.

2305051225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2305051225 is a deficient number, since it is larger than the sum of its proper divisors (700303295).

2305051225 is a wasteful number, since it uses less digits than its factorization.

2305051225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52221 (or 52216 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2305051225 is about 48010.9490116577. The cubic root of 2305051225 is about 1320.9717410336.

Adding to 2305051225 its reverse (5221505032), we get a palindrome (7526556257).

The spelling of 2305051225 in words is "two billion, three hundred five million, fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 29 61 145 305 725 1525 1769 8845 44225 52121 260605 1303025 1511509 3179381 7557545 15896905 37787725 79484525 92202049 461010245 2305051225