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223120021 = 1923731657
BaseRepresentation
bin11010100110010…
…00101010010101
3120112211200010111
431103020222111
5424104320041
634050123021
75346326455
oct1523105225
9515750114
10223120021
11104a44413
1262880471
13372c08a7
14218bdd65
15148c4981
hexd4c8a95

223120021 has 12 divisors (see below), whose sum is σ = 236255052. Its totient is φ = 210682944.

The previous prime is 223120013. The next prime is 223120031. The reversal of 223120021 is 120021322.

It can be written as a sum of positive squares in 2 ways, for example, as 95746225 + 127373796 = 9785^2 + 11286^2 .

It is not a de Polignac number, because 223120021 - 23 = 223120013 is a prime.

It is a super-3 number, since 3×2231200213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223119983 and 223120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223120031) 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 in 11 ways as a sum of consecutive naturals, for example, 133825 + ... + 135481.

It is an arithmetic number, because the mean of its divisors is an integer number (19687921).

Almost surely, 2223120021 is an apocalyptic number.

It is an amenable number.

223120021 is a deficient number, since it is larger than the sum of its proper divisors (13135031).

223120021 is a wasteful number, since it uses less digits than its factorization.

223120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 223120021 is about 14937.2025828132. The cubic root of 223120021 is about 606.5214725525.

Adding to 223120021 its reverse (120021322), we get a palindrome (343141343).

The spelling of 223120021 in words is "two hundred twenty-three million, one hundred twenty thousand, twenty-one".

Divisors: 1 19 361 373 1657 7087 31483 134653 598177 618061 11743159 223120021