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223304320 = 275383911
BaseRepresentation
bin11010100111101…
…01101010000000
3120120012000221101
431103311222000
5424131214240
634054104144
75351025001
oct1523655200
9516160841
10223304320
1110505a928
126294b054
1337356745
142192b1a8
151490e39a
hexd4f5a80

223304320 has 64 divisors (see below), whose sum is σ = 535818240. Its totient is φ = 88990720.

The previous prime is 223304273. The next prime is 223304329. The reversal of 223304320 is 23403322.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (223304329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244665 + ... + 245575.

It is an arithmetic number, because the mean of its divisors is an integer number (8372160).

Almost surely, 2223304320 is an apocalyptic number.

223304320 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 223304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267909120).

223304320 is an abundant number, since it is smaller than the sum of its proper divisors (312513920).

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

223304320 is an equidigital number, since it uses as much as digits as its factorization.

223304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 223304320 is about 14943.3704364176. The cubic root of 223304320 is about 606.6884238598.

Adding to 223304320 its reverse (23403322), we get a palindrome (246707642).

The spelling of 223304320 in words is "two hundred twenty-three million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 383 640 766 911 1532 1822 1915 3064 3644 3830 4555 6128 7288 7660 9110 12256 14576 15320 18220 24512 29152 30640 36440 49024 58304 61280 72880 116608 122560 145760 245120 291520 348913 583040 697826 1395652 1744565 2791304 3489130 5582608 6978260 11165216 13956520 22330432 27913040 44660864 55826080 111652160 223304320