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2152008217 is a prime number
BaseRepresentation
bin1000000001000101…
…0000101000011001
312112222101100022001
42000101100220121
513401403230332
6553313001001
7104220524302
oct20021205031
95488340261
102152008217
11a04830697
12500853161
13283aca358
14165b477a9
15c8ddc0e7
hex80450a19

2152008217 has 2 divisors, whose sum is σ = 2152008218. Its totient is φ = 2152008216.

The previous prime is 2152008167. The next prime is 2152008227. The reversal of 2152008217 is 7128002512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1939169296 + 212838921 = 44036^2 + 14589^2 .

It is a cyclic number.

It is not a de Polignac number, because 2152008217 - 211 = 2152006169 is a prime.

It is a super-2 number, since 2×21520082172 = 9262278732071038178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2152008227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076004108 + 1076004109.

It is an arithmetic number, because the mean of its divisors is an integer number (1076004109).

Almost surely, 22152008217 is an apocalyptic number.

It is an amenable number.

2152008217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2152008217 is an equidigital number, since it uses as much as digits as its factorization.

2152008217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 2152008217 is about 46389.7425838946. The cubic root of 2152008217 is about 1291.0646054113.

The spelling of 2152008217 in words is "two billion, one hundred fifty-two million, eight thousand, two hundred seventeen".