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2204133313 = 29536123509
BaseRepresentation
bin1000001101100000…
…0110011111000001
312200121110120111011
42003120012133001
514003224231223
61002414120521
7105422552434
oct20330063701
95617416434
102204133313
11a311a2a88
125161b0141
1329184aac5
1416ca3581b
15cd78680d
hex836067c1

2204133313 has 16 divisors (see below), whose sum is σ = 2361344400. Its totient is φ = 2053658880.

The previous prime is 2204133299. The next prime is 2204133319. The reversal of 2204133313 is 3133314022.

It can be written as a sum of positive squares in 8 ways, for example, as 50523664 + 2153609649 = 7108^2 + 46407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2204133313 is a prime.

It is a super-2 number, since 2×22041333132 = 9716407322952711938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2204133319) 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 15 ways as a sum of consecutive naturals, for example, 82003 + ... + 105511.

It is an arithmetic number, because the mean of its divisors is an integer number (147584025).

Almost surely, 22204133313 is an apocalyptic number.

It is an amenable number.

2204133313 is a deficient number, since it is larger than the sum of its proper divisors (157211087).

2204133313 is a wasteful number, since it uses less digits than its factorization.

2204133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23652.

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2204133313 is about 46948.1981869379. The cubic root of 2204133313 is about 1301.4054450982.

Adding to 2204133313 its reverse (3133314022), we get a palindrome (5337447335).

The spelling of 2204133313 in words is "two billion, two hundred four million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 29 53 61 1537 1769 3233 23509 93757 681761 1245977 1434049 36133333 41587421 76004597 2204133313