Search a number
-
+
223441344 = 26327151367
BaseRepresentation
bin11010101000101…
…11000111000000
3120120102222220100
431110113013000
5424200110334
634101042400
75352135330
oct1524270700
9516388810
10223441344
11105143875
12629b6400
13373a3c19
14219650c0
1514939c99
hexd5171c0

223441344 has 168 divisors, whose sum is σ = 738802688. Its totient is φ = 63244800.

The previous prime is 223441313. The next prime is 223441357. The reversal of 223441344 is 443144322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608649 + ... + 609015.

Almost surely, 2223441344 is an apocalyptic number.

223441344 is a gapful number since it is divisible by the number (24) 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 223441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369401344).

223441344 is an abundant number, since it is smaller than the sum of its proper divisors (515361344).

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

223441344 is a wasteful number, since it uses less digits than its factorization.

223441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 223441344 is about 14947.9545088952. The cubic root of 223441344 is about 606.8124905397.

Adding to 223441344 its reverse (443144322), we get a palindrome (666585666).

The spelling of 223441344 in words is "two hundred twenty-three million, four hundred forty-one thousand, three hundred forty-four".