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223230104320 = 285267765147
BaseRepresentation
bin1100111111100110001…
…1010001001100000000
3210100012021211020212111
43033321203101030000
512124133401314240
6250314523505104
722061564402446
oct3177143211400
9710167736774
10223230104320
1186742635423
123731b388194
1318086c75c32
14ab3938ab96
155c17a881ea
hex33f98d1300

223230104320 has 72 divisors (see below), whose sum is σ = 534913810704. Its totient is φ = 89257316352.

The previous prime is 223230104297. The next prime is 223230104329. The reversal of 223230104320 is 23401032322.

It is a super-3 number, since 3×2232301043203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223230104291 and 223230104300.

It is not an unprimeable number, because it can be changed into a prime (223230104329) 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 7 ways as a sum of consecutive naturals, for example, 3393987 + ... + 3459133.

It is an arithmetic number, because the mean of its divisors is an integer number (7429358482).

Almost surely, 2223230104320 is an apocalyptic number.

223230104320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223230104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267456905352).

223230104320 is an abundant number, since it is smaller than the sum of its proper divisors (311683706384).

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

223230104320 is an equidigital number, since it uses as much as digits as its factorization.

223230104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67845 (or 67831 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 223230104320 its reverse (23401032322), we get a palindrome (246631136642).

The spelling of 223230104320 in words is "two hundred twenty-three billion, two hundred thirty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2677 5354 10708 13385 21416 26770 42832 53540 65147 85664 107080 130294 171328 214160 260588 325735 342656 428320 521176 651470 685312 856640 1042352 1302940 1713280 2084704 2605880 3426560 4169408 5211760 8338816 10423520 16677632 20847040 41694080 83388160 174398519 348797038 697594076 871992595 1395188152 1743985190 2790376304 3487970380 5580752608 6975940760 11161505216 13951881520 22323010432 27903763040 44646020864 55807526080 111615052160 223230104320