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223222221 = 32371016637
BaseRepresentation
bin11010100111000…
…01100111001101
3120120000212022200
431103201213031
5424121102341
634052232113
75350233435
oct1523414715
9516025280
10223222221
11105004182
126290b639
1337328271
14219092c5
15148e4db6
hexd4e19cd

223222221 has 24 divisors (see below), whose sum is σ = 334475544. Its totient is φ = 143337600.

The previous prime is 223222217. The next prime is 223222229. The reversal of 223222221 is 122222322.

223222221 is a `hidden beast` number, since 223 + 222 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67322025 + 155900196 = 8205^2 + 12486^2 .

It is not a de Polignac number, because 223222221 - 22 = 223222217 is a prime.

It is a super-3 number, since 3×2232222213 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223222194 and 223222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223222229) 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, 30315 + ... + 36951.

It is an arithmetic number, because the mean of its divisors is an integer number (13936481).

Almost surely, 2223222221 is an apocalyptic number.

It is an amenable number.

223222221 is a deficient number, since it is larger than the sum of its proper divisors (111253323).

223222221 is a wasteful number, since it uses less digits than its factorization.

223222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6778 counting only the distinct ones).

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

The square root of 223222221 is about 14940.6231797740. The cubic root of 223222221 is about 606.6140640231.

Adding to 223222221 its reverse (122222322), we get a palindrome (345444543).

The spelling of 223222221 in words is "two hundred twenty-three million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 101 111 303 333 909 3737 6637 11211 19911 33633 59733 245569 670337 736707 2011011 2210121 6033033 24802469 74407407 223222221