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223384331808 = 253211104967219
BaseRepresentation
bin1101000000001010111…
…1100110011000100000
3210100121001000211012200
43100002233212120200
512124442342104213
6250342113253200
722065446330331
oct3200257463040
9710531024180
10223384331808
11868116a4860
1237362b64200
13180acbc50c1
14ab51a56288
155c263a0273
hex3402be6620

223384331808 has 144 divisors (see below), whose sum is σ = 693670068000. Its totient is φ = 67626685440.

The previous prime is 223384331761. The next prime is 223384331813. The reversal of 223384331808 is 808133483322.

223384331808 is a `hidden beast` number, since 2 + 2 + 3 + 38 + 433 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3289623 + ... + 3356841.

It is an arithmetic number, because the mean of its divisors is an integer number (4817153250).

Almost surely, 2223384331808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223384331808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346835034000).

223384331808 is an abundant number, since it is smaller than the sum of its proper divisors (470285736192).

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

223384331808 is a wasteful number, since it uses less digits than its factorization.

223384331808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68295 (or 68284 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 223384331808 in words is "two hundred twenty-three billion, three hundred eighty-four million, three hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1049 1056 1584 2098 3147 3168 4196 6294 8392 9441 11539 12588 16784 18882 23078 25176 33568 34617 37764 46156 50352 67219 69234 75528 92312 100704 103851 134438 138468 151056 184624 201657 207702 268876 276936 302112 369248 403314 415404 537752 553872 604971 739409 806628 830808 1075504 1107744 1209942 1478818 1613256 1661616 2151008 2218227 2419884 2957636 3226512 3323232 4436454 4839768 5915272 6453024 6654681 8872908 9679536 11830544 13309362 17745816 19359072 23661088 26618724 35491632 53237448 70512731 70983264 106474896 141025462 211538193 212949792 282050924 423076386 564101848 634614579 775640041 846152772 1128203696 1269229158 1551280082 1692305544 2256407392 2326920123 2538458316 3102560164 3384611088 4653840246 5076916632 6205120328 6769222176 6980760369 9307680492 10153833264 12410240656 13961520738 18615360984 20307666528 24820481312 27923041476 37230721968 55846082952 74461443936 111692165904 223384331808