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2213082337 is a prime number
BaseRepresentation
bin1000001111101000…
…1111010011100001
312201020022020020111
42003322033103201
514013022113322
61003334011321
7105561614044
oct20372172341
95636266214
102213082337
11a36255574
125191a6b41
1329366219b
1416dcc4c5b
15ce453177
hex83e8f4e1

2213082337 has 2 divisors, whose sum is σ = 2213082338. Its totient is φ = 2213082336.

The previous prime is 2213082301. The next prime is 2213082349. The reversal of 2213082337 is 7332803122.

2213082337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1965680896 + 247401441 = 44336^2 + 15729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213082337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213082299 and 2213082308.

It is not a weakly prime, because it can be changed into another prime (2213082397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106541168 + 1106541169.

It is an arithmetic number, because the mean of its divisors is an integer number (1106541169).

Almost surely, 22213082337 is an apocalyptic number.

It is an amenable number.

2213082337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213082337 is an equidigital number, since it uses as much as digits as its factorization.

2213082337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2213082337 is about 47043.4090707721. The cubic root of 2213082337 is about 1303.1643499377.

Adding to 2213082337 its reverse (7332803122), we get a palindrome (9545885459).

The spelling of 2213082337 in words is "two billion, two hundred thirteen million, eighty-two thousand, three hundred thirty-seven".