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223313104 = 2474389521
BaseRepresentation
bin11010100111101…
…11110011010000
3120120012110222201
431103313303100
5424132004404
634054212544
75351062420
oct1523676320
9516173881
10223313104
11105066493
1262954154
133735a741
1421930480
1514911ca4
hexd4f7cd0

223313104 has 80 divisors (see below), whose sum is σ = 512645760. Its totient is φ = 92252160.

The previous prime is 223313063. The next prime is 223313107. The reversal of 223313104 is 401313322.

It is a super-2 number, since 2×2233131042 = 99737484836229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223313107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428364 + ... + 428884.

It is an arithmetic number, because the mean of its divisors is an integer number (6408072).

Almost surely, 2223313104 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 223313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256322880).

223313104 is an abundant number, since it is smaller than the sum of its proper divisors (289332656).

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

223313104 is a wasteful number, since it uses less digits than its factorization.

223313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 223313104 is about 14943.6643431255. The cubic root of 223313104 is about 606.6963787458.

Adding to 223313104 its reverse (401313322), we get a palindrome (624626426).

The spelling of 223313104 in words is "two hundred twenty-three million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 89 112 172 178 301 344 356 521 602 623 688 712 1042 1204 1246 1424 2084 2408 2492 3647 3827 4168 4816 4984 7294 7654 8336 9968 14588 15308 22403 26789 29176 30616 44806 46369 53578 58352 61232 89612 92738 107156 156821 179224 185476 214312 313642 324583 358448 370952 428624 627284 649166 741904 1254568 1298332 1993867 2509136 2596664 3987734 5193328 7975468 13957069 15950936 27914138 31901872 55828276 111656552 223313104