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223131104 = 257329701
BaseRepresentation
bin11010100110010…
…11010111100000
3120112212020022222
431103023113200
5424110143404
634050250212
75346404000
oct1523132740
9515766288
10223131104
11104a51779
1262886968
13372c5951
14218c4000
15148c7dbe
hexd4cb5e0

223131104 has 96 divisors (see below), whose sum is σ = 530712000. Its totient is φ = 92198400.

The previous prime is 223131047. The next prime is 223131109. The reversal of 223131104 is 401131322.

223131104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231311043 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223131109) 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, 317954 + ... + 318654.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2223131104 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 223131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356000).

223131104 is an abundant number, since it is smaller than the sum of its proper divisors (307580896).

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

223131104 is an equidigital number, since it uses as much as digits as its factorization.

223131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 223131104 is about 14937.5735646724. The cubic root of 223131104 is about 606.5315149296.

Adding to 223131104 its reverse (401131322), we get a palindrome (624262426).

The spelling of 223131104 in words is "two hundred twenty-three million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 343 392 406 464 686 701 784 812 928 1372 1402 1421 1568 1624 2744 2804 2842 3248 4907 5488 5608 5684 6496 9814 9947 10976 11216 11368 19628 19894 20329 22432 22736 34349 39256 39788 40658 45472 68698 78512 79576 81316 137396 142303 157024 159152 162632 240443 274792 284606 318304 325264 480886 549584 569212 650528 961772 996121 1099168 1138424 1923544 1992242 2276848 3847088 3984484 4553696 6972847 7694176 7968968 13945694 15937936 27891388 31875872 55782776 111565552 223131104