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223221105 = 3255778597
BaseRepresentation
bin11010100111000…
…01010101110001
3120120000210210100
431103201111301
5424121033410
634052223013
75350230252
oct1523412561
9516023710
10223221105
11105003358
126290aa69
13373278c3
1421908b29
15148e48c0
hexd4e1571

223221105 has 24 divisors (see below), whose sum is σ = 387632232. Its totient is φ = 118831104.

The previous prime is 223221083. The next prime is 223221109. The reversal of 223221105 is 501122322.

223221105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110691441 + 112529664 = 10521^2 + 10608^2 .

It is not a de Polignac number, because 223221105 - 28 = 223220849 is a prime.

It is a super-3 number, since 3×2232211053 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21667 + ... + 30263.

It is an arithmetic number, because the mean of its divisors is an integer number (16151343).

Almost surely, 2223221105 is an apocalyptic number.

It is an amenable number.

223221105 is a deficient number, since it is larger than the sum of its proper divisors (164411127).

223221105 is a wasteful number, since it uses less digits than its factorization.

223221105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 223221105 is about 14940.5858318876. The cubic root of 223221105 is about 606.6130530986.

Adding to 223221105 its reverse (501122322), we get a palindrome (724343427).

The spelling of 223221105 in words is "two hundred twenty-three million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 577 1731 2885 5193 8597 8655 25791 25965 42985 77373 128955 386865 4960469 14881407 24802345 44644221 74407035 223221105