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223005216 = 2537378969
BaseRepresentation
bin11010100101011…
…00101000100000
3120112121211122110
431102230220200
5424042131331
634043435320
75345340660
oct1522545040
9515554573
10223005216
11104976135
1262825b40
1337280565
14218901a0
15148a0946
hexd4aca20

223005216 has 96 divisors (see below), whose sum is σ = 687173760. Its totient is φ = 61986816.

The previous prime is 223005187. The next prime is 223005239. The reversal of 223005216 is 612500322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 223005192 and 223005201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20380 + ... + 29348.

It is an arithmetic number, because the mean of its divisors is an integer number (7158060).

Almost surely, 2223005216 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 223005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343586880).

223005216 is an abundant number, since it is smaller than the sum of its proper divisors (464168544).

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

223005216 is a wasteful number, since it uses less digits than its factorization.

223005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 223005216 is about 14933.3591666443. The cubic root of 223005216 is about 606.4174274387.

Adding to 223005216 its reverse (612500322), we get a palindrome (835505538).

The spelling of 223005216 in words is "two hundred twenty-three million, five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 8969 12432 17938 24864 26907 35876 53814 62783 71752 107628 125566 143504 188349 215256 251132 287008 331853 376698 430512 502264 663706 753396 861024 995559 1004528 1327412 1506792 1991118 2009056 2322971 2654824 3013584 3982236 4645942 5309648 6027168 6968913 7964472 9291884 10619296 13937826 15928944 18583768 27875652 31857888 37167536 55751304 74335072 111502608 223005216