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233122032220 = 225711647233969
BaseRepresentation
bin1101100100011100100…
…1111110101001011100
3211021201200020020221111
43121013021332221130
512304413220012340
6255032250111404
722561660402420
oct3310711765134
9737650206844
10233122032220
118a959345250
123922011b564
1318ca24546cc
14b3d701ab80
1560e61e9aea
hex364727ea5c

233122032220 has 96 divisors (see below), whose sum is σ = 611301841920. Its totient is φ = 72548797440.

The previous prime is 233122032197. The next prime is 233122032263. The reversal of 233122032220 is 22230221332.

233122032220 is digitally balanced in base 3, 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 233122032191 and 233122032200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879396 + ... + 1113364.

It is an arithmetic number, because the mean of its divisors is an integer number (6367727520).

Almost surely, 2233122032220 is an apocalyptic number.

233122032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233122032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305650920960).

233122032220 is an abundant number, since it is smaller than the sum of its proper divisors (378179809700).

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

233122032220 is a wasteful number, since it uses less digits than its factorization.

233122032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234643 (or 234641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 233122032220 its reverse (22230221332), we get a palindrome (255352253552).

The spelling of 233122032220 in words is "two hundred thirty-three billion, one hundred twenty-two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 647 770 1294 1540 2588 3235 4529 6470 7117 9058 12940 14234 18116 22645 28468 35585 45290 49819 71170 90580 99638 142340 199276 233969 249095 467938 498190 935876 996380 1169845 1637783 2339690 2573659 3275566 4679380 5147318 6551132 8188915 10294636 12868295 16377830 18015613 25736590 32755660 36031226 51473180 72062452 90078065 151377943 180156130 302755886 360312260 605511772 756889715 1059645601 1513779430 1665157373 2119291202 3027558860 3330314746 4238582404 5298228005 6660629492 8325786865 10596456010 11656101611 16651573730 21192912020 23312203222 33303147460 46624406444 58280508055 116561016110 233122032220