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12223200330 = 23251142129327
BaseRepresentation
bin10110110001000111…
…10011110001001010
31011112212002220122100
423120203303301022
5200013114402310
65340521334230
7611621326365
oct133043636112
934485086570
1012223200330
115202750360
122451637376
1311ca482b23
1483d51d0dc
154b815dec0
hex2d88f3c4a

12223200330 has 96 divisors (see below), whose sum is σ = 34752976128. Its totient is φ = 2956060800.

The previous prime is 12223200239. The next prime is 12223200383. The reversal of 12223200330 is 3300232221.

It is a happy number.

12223200330 is a `hidden beast` number, since 12 + 2 + 2 + 320 + 0 + 330 = 666.

12223200330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 402127 + ... + 431453.

It is an arithmetic number, because the mean of its divisors is an integer number (362010168).

Almost surely, 212223200330 is an apocalyptic number.

12223200330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223200330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376488064).

12223200330 is an abundant number, since it is smaller than the sum of its proper divisors (22529775798).

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

12223200330 is a wasteful number, since it uses less digits than its factorization.

12223200330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29772 (or 29769 counting only the distinct ones).

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

Adding to 12223200330 its reverse (3300232221), we get a palindrome (15523432551).

The spelling of 12223200330 in words is "twelve billion, two hundred twenty-three million, two hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 421 495 842 990 1263 2105 2526 3789 4210 4631 6315 7578 9262 12630 13893 18945 23155 27786 29327 37890 41679 46310 58654 69465 83358 87981 138930 146635 175962 208395 263943 293270 322597 416790 439905 527886 645194 879810 967791 1319715 1612985 1935582 2639430 2903373 3225970 4838955 5806746 9677910 12346667 14516865 24693334 29033730 37040001 61733335 74080002 111120003 123466670 135813337 185200005 222240006 271626674 370400010 407440011 555600015 679066685 814880022 1111200030 1222320033 1358133370 2037200055 2444640066 4074400110 6111600165 12223200330