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223313024 = 2711199797
BaseRepresentation
bin11010100111101…
…11110010000000
3120120012110212202
431103313302000
5424132004044
634054212332
75351062244
oct1523676200
9516173782
10223313024
11105066420
12629540a8
133735a6ac
1421930424
1514911c4e
hexd4f7c80

223313024 has 64 divisors (see below), whose sum is σ = 488376000. Its totient is φ = 100869120.

The previous prime is 223313011. The next prime is 223313033. The reversal of 223313024 is 420313322.

223313024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 223312987 and 223313005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279794 + ... + 280590.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2223313024 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 223313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

223313024 is an abundant number, since it is smaller than the sum of its proper divisors (265062976).

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

223313024 is a wasteful number, since it uses less digits than its factorization.

223313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 223313024 is about 14943.6616664056. The cubic root of 223313024 is about 606.6963062979.

Adding to 223313024 its reverse (420313322), we get a palindrome (643626346).

The spelling of 223313024 in words is "two hundred twenty-three million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 199 352 398 704 796 797 1408 1592 1594 2189 3184 3188 4378 6368 6376 8756 8767 12736 12752 17512 17534 25472 25504 35024 35068 51008 70048 70136 102016 140096 140272 158603 280192 280544 317206 561088 634412 1122176 1268824 1744633 2537648 3489266 5075296 6978532 10150592 13957064 20301184 27914128 55828256 111656512 223313024