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2000414233 is a prime number
BaseRepresentation
bin111011100111011…
…1110011000011001
312011102010120110001
41313032332120121
513044101223413
6530255453001
7100400145316
oct16716763031
95142116401
102000414233
119371aa904
12479b27161
1325b590a7c
1414d965d0d
15ba9454dd
hex773be619

2000414233 has 2 divisors, whose sum is σ = 2000414234. Its totient is φ = 2000414232.

The previous prime is 2000414203. The next prime is 2000414249. The reversal of 2000414233 is 3324140002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1977403024 + 23011209 = 44468^2 + 4797^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000414233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000414233.

It is not a weakly prime, because it can be changed into another prime (2000414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000207116 + 1000207117.

It is an arithmetic number, because the mean of its divisors is an integer number (1000207117).

Almost surely, 22000414233 is an apocalyptic number.

It is an amenable number.

2000414233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000414233 is an equidigital number, since it uses as much as digits as its factorization.

2000414233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2000414233 is about 44725.9905759504. The cubic root of 2000414233 is about 1260.0080273697.

Adding to 2000414233 its reverse (3324140002), we get a palindrome (5324554235).

The spelling of 2000414233 in words is "two billion, four hundred fourteen thousand, two hundred thirty-three".