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2213137249 is a prime number
BaseRepresentation
bin1000001111101001…
…1100101101100001
312201020102000120021
42003322130231201
514013030342444
61003335113441
7105562233121
oct20372345541
95636360507
102213137249
11a36292854
12519212881
1329368118b
1416dcdac81
15ce464584
hex83e9cb61

2213137249 has 2 divisors, whose sum is σ = 2213137250. Its totient is φ = 2213137248.

The previous prime is 2213137229. The next prime is 2213137261. The reversal of 2213137249 is 9427313122.

2213137249 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., 1345422400 + 867714849 = 36680^2 + 29457^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213137249 - 223 = 2204748641 is a prime.

It is a super-2 number, since 2×22131372492 = 9795952965822576002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2213137229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106568624 + 1106568625.

It is an arithmetic number, because the mean of its divisors is an integer number (1106568625).

Almost surely, 22213137249 is an apocalyptic number.

It is an amenable number.

2213137249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213137249 is an equidigital number, since it uses as much as digits as its factorization.

2213137249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 34.

The square root of 2213137249 is about 47043.9926983244. The cubic root of 2213137249 is about 1303.1751280830.

The spelling of 2213137249 in words is "two billion, two hundred thirteen million, one hundred thirty-seven thousand, two hundred forty-nine".