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223206321 = 31371149541
BaseRepresentation
bin11010100110111…
…01101110110001
3120120000001111210
431103131232301
5424120100241
634052030333
75350136202
oct1523355661
9516001453
10223206321
11104aa3238
12629023a9
1337320c60
14219035a9
15148e0316
hexd4ddbb1

223206321 has 32 divisors (see below), whose sum is σ = 327801600. Its totient is φ = 134265600.

The previous prime is 223206317. The next prime is 223206331. The reversal of 223206321 is 123602322.

It is not a de Polignac number, because 223206321 - 22 = 223206317 is a prime.

It is a super-3 number, since 3×2232063213 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223206331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412311 + ... + 412851.

It is an arithmetic number, because the mean of its divisors is an integer number (10243800).

Almost surely, 2223206321 is an apocalyptic number.

It is an amenable number.

223206321 is a deficient number, since it is larger than the sum of its proper divisors (104595279).

223206321 is a wasteful number, since it uses less digits than its factorization.

223206321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 223206321 is about 14940.0910639795. The cubic root of 223206321 is about 606.5996607488.

Adding to 223206321 its reverse (123602322), we get a palindrome (346808643).

The spelling of 223206321 in words is "two hundred twenty-three million, two hundred six thousand, three hundred twenty-one".

Divisors: 1 3 13 39 71 149 213 447 541 923 1623 1937 2769 5811 7033 10579 21099 31737 38411 80609 115233 137527 241827 412581 499343 1047917 1498029 3143751 5723239 17169717 74402107 223206321