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2002000249 is a prime number
BaseRepresentation
bin111011101010100…
…0001100101111001
312011112010011001101
41313111001211321
513100003001444
6530353451401
7100416502264
oct16725014571
95145104041
102002000249
11938093467
1247a570b61
1325b9c7942
1414dc59cdb
15bab5a3d4
hex77541979

2002000249 has 2 divisors, whose sum is σ = 2002000250. Its totient is φ = 2002000248.

The previous prime is 2002000229. The next prime is 2002000309. The reversal of 2002000249 is 9420002002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1815186025 + 186814224 = 42605^2 + 13668^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000249 - 219 = 2001475961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002000219) 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, 1001000124 + 1001000125.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000125).

Almost surely, 22002000249 is an apocalyptic number.

It is an amenable number.

2002000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000249 is an equidigital number, since it uses as much as digits as its factorization.

2002000249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2002000249 is about 44743.7174249078. The cubic root of 2002000249 is about 1260.3409359166.

The spelling of 2002000249 in words is "two billion, two million, two hundred forty-nine", and thus it is an aban number.