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222223221 = 3211193137103
BaseRepresentation
bin11010011111011…
…01101101110101
3120111011002221200
431033231231311
5423342120341
634015003113
75335603053
oct1517555565
9514132850
10222223221
11104491660
1262509499
133706863c
14217291d3
1514798db6
hexd3edb75

222223221 has 96 divisors (see below), whose sum is σ = 394567680. Its totient is φ = 118972800.

The previous prime is 222223207. The next prime is 222223231. The reversal of 222223221 is 122322222.

222223221 is a `hidden beast` number, since 222 + 223 + 221 = 666.

It is not a de Polignac number, because 222223221 - 25 = 222223189 is a prime.

It is a super-2 number, since 2×2222232212 = 98766319903229682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222223194 and 222223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2157456 + ... + 2157558.

It is an arithmetic number, because the mean of its divisors is an integer number (4110080).

Almost surely, 2222223221 is an apocalyptic number.

It is an amenable number.

222223221 is a deficient number, since it is larger than the sum of its proper divisors (172344459).

222223221 is a wasteful number, since it uses less digits than its factorization.

222223221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 222223221 is about 14907.1533499860. The cubic root of 222223221 is about 605.7077717259.

Adding to 222223221 its reverse (122322222), we get a palindrome (344545443).

Subtracting from 222223221 its reverse (122322222), we obtain a palindrome (99900999).

The spelling of 222223221 in words is "two hundred twenty-two million, two hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 31 33 37 57 93 99 103 111 171 209 279 309 333 341 407 589 627 703 927 1023 1133 1147 1221 1767 1881 1957 2109 3069 3193 3399 3441 3663 3811 5301 5871 6327 6479 7733 9579 10197 10323 11433 12617 17613 19437 21527 21793 23199 28737 34299 35123 37851 41921 58311 60667 64581 65379 69597 72409 105369 113553 118141 125763 182001 193743 196137 217227 239723 316107 354423 377289 546003 651681 667337 719169 796499 1063269 1299551 2002011 2157507 2244679 2389497 3898653 6006033 6734037 7168491 11695959 20202111 24691469 74074407 222223221