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223120441 is a prime number
BaseRepresentation
bin11010100110010…
…00110000111001
3120112211200201001
431103020300321
5424104323231
634050125001
75346330625
oct1523106071
9515750631
10223120441
11104a44765
1262880761
13372c0b3b
14218c0185
15148c4b61
hexd4c8c39

223120441 has 2 divisors, whose sum is σ = 223120442. Its totient is φ = 223120440.

The previous prime is 223120409. The next prime is 223120459. The reversal of 223120441 is 144021322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222755625 + 364816 = 14925^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 223120441 - 25 = 223120409 is a prime.

It is a super-3 number, since 3×2231204413 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223120741) 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, 111560220 + 111560221.

It is an arithmetic number, because the mean of its divisors is an integer number (111560221).

Almost surely, 2223120441 is an apocalyptic number.

It is an amenable number.

223120441 is a deficient number, since it is larger than the sum of its proper divisors (1).

223120441 is an equidigital number, since it uses as much as digits as its factorization.

223120441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 223120441 is about 14937.2166416639. The cubic root of 223120441 is about 606.5218531232.

Adding to 223120441 its reverse (144021322), we get a palindrome (367141763).

The spelling of 223120441 in words is "two hundred twenty-three million, one hundred twenty thousand, four hundred forty-one".