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2213137229 is a prime number
BaseRepresentation
bin1000001111101001…
…1100101101001101
312201020102000112112
42003322130231031
514013030342404
61003335113405
7105562233062
oct20372345515
95636360475
102213137229
11a36292836
12519212865
13293681174
1416dcdac69
15ce46456e
hex83e9cb4d

2213137229 has 2 divisors, whose sum is σ = 2213137230. Its totient is φ = 2213137228.

The previous prime is 2213137189. The next prime is 2213137249. The reversal of 2213137229 is 9227313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1359913129 + 853224100 = 36877^2 + 29210^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213137229 - 220 = 2212088653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2213137195 and 2213137204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213137249) 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 as a sum of consecutive naturals, namely, 1106568614 + 1106568615.

It is an arithmetic number, because the mean of its divisors is an integer number (1106568615).

Almost surely, 22213137229 is an apocalyptic number.

It is an amenable number.

2213137229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213137229 is an equidigital number, since it uses as much as digits as its factorization.

2213137229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 2213137229 is about 47043.9924857574. The cubic root of 2213137229 is about 1303.1751241574.

The spelling of 2213137229 in words is "two billion, two hundred thirteen million, one hundred thirty-seven thousand, two hundred twenty-nine".