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214040641 is a prime number
BaseRepresentation
bin11001100001000…
…00000001000001
3112220202101120011
430300200001001
5414243300031
633123344521
75206213123
oct1460400101
9486671504
10214040641
11aa9029a1
125b822141
1335462089
14205d9213
1513bce6b1
hexcc20041

214040641 has 2 divisors, whose sum is σ = 214040642. Its totient is φ = 214040640.

The previous prime is 214040621. The next prime is 214040663. The reversal of 214040641 is 146040412.

It is an a-pointer prime, because the next prime (214040663) can be obtained adding 214040641 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200505600 + 13535041 = 14160^2 + 3679^2 .

It is a cyclic number.

It is not a de Polignac number, because 214040641 - 25 = 214040609 is a prime.

It is not a weakly prime, because it can be changed into another prime (214040611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107020320 + 107020321.

It is an arithmetic number, because the mean of its divisors is an integer number (107020321).

Almost surely, 2214040641 is an apocalyptic number.

It is an amenable number.

214040641 is a deficient number, since it is larger than the sum of its proper divisors (1).

214040641 is an equidigital number, since it uses as much as digits as its factorization.

214040641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 214040641 is about 14630.1278531666. The cubic root of 214040641 is about 598.1802652255.

The spelling of 214040641 in words is "two hundred fourteen million, forty thousand, six hundred forty-one".