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223212330 = 2325112103199
BaseRepresentation
bin11010100110111…
…11001100101010
3120120000100202100
431103133030222
5424120243310
634052114230
75350162545
oct1523371452
9516010670
10223212330
11104aa7800
1262905976
1337323903
142190585c
15148e1ec0
hexd4df32a

223212330 has 144 divisors (see below), whose sum is σ = 647337600. Its totient is φ = 53317440.

The previous prime is 223212313. The next prime is 223212331. The reversal of 223212330 is 33212322.

It is a happy number.

It is a super-3 number, since 3×2232123303 (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223212331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1121571 + ... + 1121769.

It is an arithmetic number, because the mean of its divisors is an integer number (4495400).

Almost surely, 2223212330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323668800).

223212330 is an abundant number, since it is smaller than the sum of its proper divisors (424125270).

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

223212330 is a wasteful number, since it uses less digits than its factorization.

223212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 323 counting only the distinct ones).

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

The square root of 223212330 is about 14940.2921658179. The cubic root of 223212330 is about 606.6051041799.

Adding to 223212330 its reverse (33212322), we get a palindrome (256424652).

The spelling of 223212330 in words is "two hundred twenty-three million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 103 110 121 165 198 199 206 242 309 330 363 398 495 515 597 605 618 726 927 990 995 1030 1089 1133 1194 1210 1545 1791 1815 1854 1990 2178 2189 2266 2985 3090 3399 3582 3630 4378 4635 5445 5665 5970 6567 6798 8955 9270 10197 10890 10945 11330 12463 13134 16995 17910 19701 20394 20497 21890 24079 24926 32835 33990 37389 39402 40994 48158 50985 61491 62315 65670 72237 74778 98505 101970 102485 112167 120395 122982 124630 144474 184473 186945 197010 204970 216711 224334 225467 240790 307455 361185 368946 373890 433422 450934 560835 614910 676401 722370 922365 1083555 1121670 1127335 1352802 1844730 2029203 2167110 2254670 2480137 3382005 4058406 4960274 6764010 7440411 10146015 12400685 14880822 20292030 22321233 24801370 37202055 44642466 74404110 111606165 223212330