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2302413225 = 3527389501
BaseRepresentation
bin1000100100111100…
…0000100110101001
312221110101201011220
42021033000212221
514203404210400
61020244412253
7111025122000
oct21117004651
95843351156
102302413225
11a8171a152
125430a7089
132a900b6b8
1417bad9c37
15d71eb7a0
hex893c09a9

2302413225 has 48 divisors (see below), whose sum is σ = 4439299200. Its totient is φ = 1052520000.

The previous prime is 2302413187. The next prime is 2302413247. The reversal of 2302413225 is 5223142032.

It is not a de Polignac number, because 2302413225 - 214 = 2302396841 is a prime.

It is a super-2 number, since 2×23024132252 = 10602213317309801250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2302413195 and 2302413204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19026 + ... + 70475.

It is an arithmetic number, because the mean of its divisors is an integer number (92485400).

Almost surely, 22302413225 is an apocalyptic number.

2302413225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2302413225 is a deficient number, since it is larger than the sum of its proper divisors (2136885975).

2302413225 is an equidigital number, since it uses as much as digits as its factorization.

2302413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89535 (or 89516 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2302413225 is about 47983.4682468869. The cubic root of 2302413225 is about 1320.4676230027.

Adding to 2302413225 its reverse (5223142032), we get a palindrome (7525555257).

The spelling of 2302413225 in words is "two billion, three hundred two million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 343 525 735 1029 1225 1715 3675 5145 8575 25725 89501 268503 447505 626507 1342515 1879521 2237525 3132535 4385549 6712575 9397605 13156647 15662675 21927745 30698843 46988025 65783235 92096529 109638725 153494215 328916175 460482645 767471075 2302413225