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223957441 is a prime number
BaseRepresentation
bin11010101100101…
…01000111000001
3120121102012212001
431112111013001
5424313114231
634120104001
75356415101
oct1526250701
9517365761
10223957441
111054665a4
1263005001
1337524ac6
1421a5b201
15149dcb61
hexd5951c1

223957441 has 2 divisors, whose sum is σ = 223957442. Its totient is φ = 223957440.

The previous prime is 223957429. The next prime is 223957453. The reversal of 223957441 is 144759322.

It is a balanced prime because it is at equal distance from previous prime (223957429) and next prime (223957453).

It can be written as a sum of positive squares in only one way, i.e., 193321216 + 30636225 = 13904^2 + 5535^2 .

It is a cyclic number.

It is not a de Polignac number, because 223957441 - 219 = 223433153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223957441.

It is not a weakly prime, because it can be changed into another prime (223957471) 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, 111978720 + 111978721.

It is an arithmetic number, because the mean of its divisors is an integer number (111978721).

Almost surely, 2223957441 is an apocalyptic number.

It is an amenable number.

223957441 is a deficient number, since it is larger than the sum of its proper divisors (1).

223957441 is an equidigital number, since it uses as much as digits as its factorization.

223957441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 37.

The square root of 223957441 is about 14965.2076831563. The cubic root of 223957441 is about 607.2793293824.

The spelling of 223957441 in words is "two hundred twenty-three million, nine hundred fifty-seven thousand, four hundred forty-one".