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10223641 is a prime number
BaseRepresentation
bin100111000000…
…000000011001
3201020102012101
4213000000121
510104124031
61003043401
7152620351
oct47000031
921212171
1010223641
11585319a
123510561
13216c5bc
141501b61
15d6e361
hex9c0019

10223641 has 2 divisors, whose sum is σ = 10223642. Its totient is φ = 10223640.

The previous prime is 10223621. The next prime is 10223663. The reversal of 10223641 is 14632201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 4748041 = 2340^2 + 2179^2 .

It is an emirp because it is prime and its reverse (14632201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223641 - 217 = 10092569 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10223621) 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, 5111820 + 5111821.

It is an arithmetic number, because the mean of its divisors is an integer number (5111821).

Almost surely, 210223641 is an apocalyptic number.

It is an amenable number.

10223641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223641 is an equidigital number, since it uses as much as digits as its factorization.

10223641 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 10223641 is about 3197.4428845563. The cubic root of 10223641 is about 217.0377092614.

Adding to 10223641 its reverse (14632201), we get a palindrome (24855842).

The spelling of 10223641 in words is "ten million, two hundred twenty-three thousand, six hundred forty-one".