Search a number
-
+
223213302 = 232133472749
BaseRepresentation
bin11010100110111…
…11011011110110
3120120000102002100
431103133123312
5424120311202
634052122530
75350165434
oct1523373366
9516012070
10223213302
11104aa8504
1262906446
13373241a0
1421905d54
15148e241c
hexd4df6f6

223213302 has 48 divisors (see below), whose sum is σ = 522522000. Its totient is φ = 68458176.

The previous prime is 223213283. The next prime is 223213303. The reversal of 223213302 is 203312322.

It is a happy number.

It is a super-3 number, since 3×2232133023 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223213303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79824 + ... + 82572.

It is an arithmetic number, because the mean of its divisors is an integer number (10885875).

Almost surely, 2223213302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223213302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261261000).

223213302 is an abundant number, since it is smaller than the sum of its proper divisors (299308698).

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

223213302 is a wasteful number, since it uses less digits than its factorization.

223213302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 223213302 is about 14940.3246952668. The cubic root of 223213302 is about 606.6059846857.

Adding to 223213302 its reverse (203312322), we get a palindrome (426525624).

The spelling of 223213302 in words is "two hundred twenty-three million, two hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 347 694 1041 2082 2749 3123 4511 5498 6246 8247 9022 13533 16494 24741 27066 35737 40599 49482 71474 81198 107211 214422 321633 643266 953903 1907806 2861709 5723418 8585127 12400739 17170254 24801478 37202217 74404434 111606651 223213302