Search a number
-
+
223084368 = 24341313241
BaseRepresentation
bin11010100101111…
…11111101010000
3120112202212020000
431102333331100
5424102144433
634045250000
75346120513
oct1522777520
9515685200
10223084368
11104a1a651
1262863900
13372aa5b0
14218b0d7a
15148b9113
hexd4bff50

223084368 has 100 divisors (see below), whose sum is σ = 695390388. Its totient is φ = 68636160.

The previous prime is 223084357. The next prime is 223084391. The reversal of 223084368 is 863480322.

It can be written as a sum of positive squares in 2 ways, for example, as 147185424 + 75898944 = 12132^2 + 8712^2 .

It is a super-3 number, since 3×2230843683 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10228 + ... + 23468.

Almost surely, 2223084368 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 223084368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347695194).

223084368 is an abundant number, since it is smaller than the sum of its proper divisors (472306020).

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

223084368 is a wasteful number, since it uses less digits than its factorization.

223084368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 223084368 is about 14936.0091055141. The cubic root of 223084368 is about 606.4891648856.

The spelling of 223084368 in words is "two hundred twenty-three million, eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 13241 16848 26482 39723 52964 79446 105928 119169 158892 172133 211856 238338 317784 344266 357507 476676 516399 635568 688532 715014 953352 1032798 1072521 1377064 1430028 1549197 1906704 2065596 2145042 2754128 2860056 3098394 4131192 4290084 4647591 5720112 6196788 8262384 8580168 9295182 12393576 13942773 17160336 18590364 24787152 27885546 37180728 55771092 74361456 111542184 223084368