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223221353 is a prime number
BaseRepresentation
bin11010100111000…
…01011001101001
3120120000211010112
431103201121221
5424121040403
634052224105
75350231055
oct1523413151
9516024115
10223221353
11105003563
126290b035
1337327a54
1421908c65
15148e49d8
hexd4e1669

223221353 has 2 divisors, whose sum is σ = 223221354. Its totient is φ = 223221352.

The previous prime is 223221307. The next prime is 223221379. The reversal of 223221353 is 353122322.

223221353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199289689 + 23931664 = 14117^2 + 4892^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221353 - 26 = 223221289 is a prime.

It is a super-3 number, since 3×2232213533 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223221553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610676 + 111610677.

It is an arithmetic number, because the mean of its divisors is an integer number (111610677).

Almost surely, 2223221353 is an apocalyptic number.

It is an amenable number.

223221353 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221353 is an equidigital number, since it uses as much as digits as its factorization.

223221353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 23.

The square root of 223221353 is about 14940.5941314260. The cubic root of 223221353 is about 606.6132777488.

Adding to 223221353 its reverse (353122322), we get a palindrome (576343675).

The spelling of 223221353 in words is "two hundred twenty-three million, two hundred twenty-one thousand, three hundred fifty-three".