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225878153 is a prime number
BaseRepresentation
bin11010111011010…
…10000010001001
3120202000210120112
431131222002021
5430311100103
634225204105
75411634614
oct1535520211
9522023515
10225878153
11106558666
1263790635
1337a48117
1421ddb17b
1514c6bcd8
hexd76a089

225878153 has 2 divisors, whose sum is σ = 225878154. Its totient is φ = 225878152.

The previous prime is 225878141. The next prime is 225878161. The reversal of 225878153 is 351878522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209902144 + 15976009 = 14488^2 + 3997^2 .

It is a cyclic number.

It is not a de Polignac number, because 225878153 - 26 = 225878089 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225878153.

It is not a weakly prime, because it can be changed into another prime (225878113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112939076 + 112939077.

It is an arithmetic number, because the mean of its divisors is an integer number (112939077).

Almost surely, 2225878153 is an apocalyptic number.

It is an amenable number.

225878153 is a deficient number, since it is larger than the sum of its proper divisors (1).

225878153 is an equidigital number, since it uses as much as digits as its factorization.

225878153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 41.

The square root of 225878153 is about 15029.2432610561. The cubic root of 225878153 is about 609.0104470172.

The spelling of 225878153 in words is "two hundred twenty-five million, eight hundred seventy-eight thousand, one hundred fifty-three".