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223320321 = 347393863
BaseRepresentation
bin11010100111110…
…01100100000001
3120120012211220000
431103321210001
5424132222241
634054310213
75351122440
oct1523714401
9516184800
10223320321
11105070954
1262958369
1337360b03
1421932d57
1514913eb6
hexd4f9901

223320321 has 20 divisors (see below), whose sum is σ = 381260352. Its totient is φ = 127611288.

The previous prime is 223320289. The next prime is 223320353. The reversal of 223320321 is 123023322.

It is a happy number.

223320321 is a `hidden beast` number, since 2 + 23 + 320 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (223320289) and next prime (223320353).

It is not a de Polignac number, because 223320321 - 25 = 223320289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223320294 and 223320303.

It is not an unprimeable number, because it can be changed into a prime (223320121) 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 19 ways as a sum of consecutive naturals, for example, 196365 + ... + 197498.

Almost surely, 2223320321 is an apocalyptic number.

223320321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223320321 is a deficient number, since it is larger than the sum of its proper divisors (157940031).

223320321 is an equidigital number, since it uses as much as digits as its factorization.

223320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393882 (or 393873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 223320321 is about 14943.9058147460. The cubic root of 223320321 is about 606.7029143835.

Adding to 223320321 its reverse (123023322), we get a palindrome (346343643).

The spelling of 223320321 in words is "two hundred twenty-three million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 393863 1181589 2757041 3544767 8271123 10634301 24813369 31902903 74440107 223320321