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2310201225 = 325285312037
BaseRepresentation
bin1000100110110010…
…1101111110001001
312222000001101022100
42021230231332021
514212402414400
61021123344013
7111151246353
oct21154557611
95860041270
102310201225
11a86059412
12545822009
132aa807497
1417cb660d3
15d7c39100
hex89b2df89

2310201225 has 36 divisors (see below), whose sum is σ = 4143022156. Its totient is φ = 1230560640.

The previous prime is 2310201221. The next prime is 2310201233. The reversal of 2310201225 is 5221020132.

It can be written as a sum of positive squares in 6 ways, for example, as 1098325881 + 1211875344 = 33141^2 + 34812^2 .

It is not a de Polignac number, because 2310201225 - 22 = 2310201221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2310201198 and 2310201207.

It is not an unprimeable number, because it can be changed into a prime (2310201221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 185907 + ... + 197943.

Almost surely, 22310201225 is an apocalyptic number.

2310201225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2310201225 is a deficient number, since it is larger than the sum of its proper divisors (1832820931).

2310201225 is a wasteful number, since it uses less digits than its factorization.

2310201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12898 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2310201225 is about 48064.5526869854. The cubic root of 2310201225 is about 1321.9547913876.

Adding to 2310201225 its reverse (5221020132), we get a palindrome (7531221357).

The spelling of 2310201225 in words is "two billion, three hundred ten million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 853 2559 4265 7677 12037 12795 21325 36111 38385 60185 63975 108333 180555 191925 300925 541665 902775 2708325 10267561 30802683 51337805 92408049 154013415 256689025 462040245 770067075 2310201225