Search a number
-
+
222024304230 = 235173117538011
BaseRepresentation
bin1100111011000110101…
…1100000011001100110
3210020002020220021002220
43032301223200121212
512114201210213410
6245555131213210
722016653306341
oct3166153403146
9706066807086
10222024304230
1186183a27a23
12370435a7206
1317c24200761
14aa6318b458
155b96ca4070
hex33b1ae0666

222024304230 has 128 divisors (see below), whose sum is σ = 582808006656. Its totient is φ = 53888716800.

The previous prime is 222024304223. The next prime is 222024304277. The reversal of 222024304230 is 32403420222.

It is a happy number.

222024304230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222024304230.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 27710925 + ... + 27718935.

It is an arithmetic number, because the mean of its divisors is an integer number (4553187552).

Almost surely, 2222024304230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222024304230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291404003328).

222024304230 is an abundant number, since it is smaller than the sum of its proper divisors (360783702426).

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

222024304230 is a wasteful number, since it uses less digits than its factorization.

222024304230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 222024304230 its reverse (32403420222), we get a palindrome (254427724452).

The spelling of 222024304230 in words is "two hundred twenty-two billion, twenty-four million, three hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 1753 2635 3162 3506 5259 5270 7905 8011 8765 10518 15810 16022 17530 24033 26295 29801 40055 48066 52590 54343 59602 80110 89403 108686 120165 136187 149005 163029 178806 240330 248341 271715 272374 298010 326058 408561 447015 496682 543430 680935 745023 815145 817122 894030 923831 1241705 1361870 1490046 1630290 1847662 2042805 2483410 2771493 3725115 4085610 4221797 4619155 5542986 7450230 8443594 9238310 12665391 13857465 14043283 21108985 25330782 27714930 28086566 42129849 42217970 63326955 70216415 84259698 126653910 140432830 210649245 238735811 421298490 435341773 477471622 716207433 870683546 1193679055 1306025319 1432414866 2176708865 2387358110 2612050638 3581037165 4353417730 6530126595 7162074330 7400810141 13060253190 14801620282 22202430423 37004050705 44404860846 74008101410 111012152115 222024304230