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220323302022330 = 232513188310514549
BaseRepresentation
bin110010000110001000000100…
…001001110001110010111010
31001220002200221201212222022100
4302012020010021301302322
5212334234110304203310
62100331043324004230
764256555546233203
oct6206100411616272
91056080851788270
10220323302022330
11642246511a1981
1220864170090676
1395c2523bb8ac0
143c599c1a505aa
151a711ac1a1ec0
hexc86204271cba

220323302022330 has 48 divisors (see below), whose sum is σ = 616905245665800. Its totient is φ = 54233428189824.

The previous prime is 220323302022311. The next prime is 220323302022367. The reversal of 220323302022330 is 33220203323022.

220323302022330 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 2 + 3 + 302 + 0 + 22 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195173668788849 + 25149633233481 = 13970457^2 + 5014941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220323302022294 and 220323302022303.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 94155256105 + ... + 94155258444.

Almost surely, 2220323302022330 is an apocalyptic number.

220323302022330 is an abundant number, since it is smaller than the sum of its proper divisors (396581943643470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220323302022330 is a wasteful number, since it uses less digits than its factorization.

220323302022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188310514575 (or 188310514572 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 220323302022330 its reverse (33220203323022), we get a palindrome (253543505345352).

The spelling of 220323302022330 in words is "two hundred twenty trillion, three hundred twenty-three billion, three hundred two million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 188310514549 376621029098 564931543647 941552572745 1129863087294 1694794630941 1883105145490 2448036689137 2824657718235 3389589261882 4896073378274 5649315436470 7344110067411 8473973154705 12240183445685 14688220134822 16947946309410 22032330202233 24480366891370 36720550337055 44064660404466 73441100674110 110161651011165 220323302022330