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223030242 = 232172941613
BaseRepresentation
bin11010100101100…
…10101111100010
3120112200002222100
431102302233202
5424043431432
634044151230
75345503641
oct1522625742
9515602870
10223030242
11104992a16
1262838516
133728ba76
1421899358
15148a807c
hexd4b2be2

223030242 has 96 divisors (see below), whose sum is σ = 543095280. Its totient is φ = 65802240.

The previous prime is 223030237. The next prime is 223030253. The reversal of 223030242 is 242030322.

It can be written as a sum of positive squares in 8 ways, for example, as 19368801 + 203661441 = 4401^2 + 14271^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363528 + ... + 364140.

Almost surely, 2223030242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223030242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271547640).

223030242 is an abundant number, since it is smaller than the sum of its proper divisors (320065038).

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

223030242 is a wasteful number, since it uses less digits than its factorization.

223030242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223030242 is about 14934.1970657950. The cubic root of 223030242 is about 606.4401109662.

Adding to 223030242 its reverse (242030322), we get a palindrome (465060564).

The spelling of 223030242 in words is "two hundred twenty-three million, thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 29 34 41 51 58 82 87 102 123 153 174 246 261 306 369 493 522 613 697 738 986 1189 1226 1394 1479 1839 2091 2378 2958 3567 3678 4182 4437 5517 6273 7134 8874 10421 10701 11034 12546 17777 20213 20842 21402 25133 31263 35554 40426 50266 53331 60639 62526 75399 93789 106662 121278 150798 159993 181917 187578 226197 302209 319986 363834 427261 452394 604418 728857 854522 906627 1281783 1457714 1813254 2186571 2563566 2719881 3845349 4373142 5439762 6559713 7690698 12390569 13119426 24781138 37171707 74343414 111515121 223030242