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10223249 is a prime number
BaseRepresentation
bin100110111111…
…111010010001
3201020101122212
4212333322101
510104120444
61003041505
7152616251
oct46777221
921211585
1010223249
115852973
123510295
13216c37a
141501961
15d6e19e
hex9bfe91

10223249 has 2 divisors, whose sum is σ = 10223250. Its totient is φ = 10223248.

The previous prime is 10223237. The next prime is 10223251. The reversal of 10223249 is 94232201.

10223249 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9193024 + 1030225 = 3032^2 + 1015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223249 is a prime.

Together with 10223251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10223209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111624 + 5111625.

It is an arithmetic number, because the mean of its divisors is an integer number (5111625).

Almost surely, 210223249 is an apocalyptic number.

It is an amenable number.

10223249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223249 is an equidigital number, since it uses as much as digits as its factorization.

10223249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 10223249 is about 3197.3815849848. The cubic root of 10223249 is about 217.0349353029.

The spelling of 10223249 in words is "ten million, two hundred twenty-three thousand, two hundred forty-nine".