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20223133310232 = 23372514605067
BaseRepresentation
bin1001001100100100100001…
…01011010101110100011000
32122121022102221011010000000
410212102100223111310120
510122313434111411412
6111002213523213000
74155034044614016
oct446222053256430
978538387133000
1020223133310232
1164976455a0646
122327466517160
13b39058199458
144dcb3a80d8b6
152510b419e4dc
hex126490ad5d18

20223133310232 has 128 divisors (see below), whose sum is σ = 57095475091200. Its totient is φ = 6714186228000.

The previous prime is 20223133310213. The next prime is 20223133310243. The reversal of 20223133310232 is 23201333132202.

20223133310232 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 313 + 3 + 310 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20223133310196 and 20223133310205.

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 31 ways as a sum of consecutive naturals, for example, 2088963 + ... + 6694029.

It is an arithmetic number, because the mean of its divisors is an integer number (446058399150).

Almost surely, 220223133310232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223133310232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28547737545600).

20223133310232 is an abundant number, since it is smaller than the sum of its proper divisors (36872341780968).

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

20223133310232 is an equidigital number, since it uses as much as digits as its factorization.

20223133310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605345 (or 4605323 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20223133310232 its reverse (23201333132202), we get a palindrome (43424466442434).

The spelling of 20223133310232 in words is "twenty trillion, two hundred twenty-three billion, one hundred thirty-three million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 648 729 753 972 1004 1458 1506 1944 2008 2187 2259 2916 3012 4374 4518 5832 6024 6777 8748 9036 13554 17496 18072 20331 27108 40662 54216 60993 81324 121986 162648 182979 243972 365958 487944 548937 731916 1097874 1463832 2195748 4391496 4605067 9210134 13815201 18420268 27630402 36840536 41445603 55260804 82891206 110521608 124336809 165782412 248673618 331564824 373010427 497347236 746020854 994694472 1119031281 1155871817 1492041708 2238062562 2311743634 2984083416 3357093843 3467615451 4476125124 4623487268 6714187686 6935230902 8952250248 9246974536 10071281529 10402846353 13428375372 13870461804 20142563058 20805692706 26856750744 27740923608 31208539059 40285126116 41611385412 62417078118 80570252232 83222770824 93625617177 124834156236 187251234354 249668312472 280876851531 374502468708 561753703062 749004937416 842630554593 1123507406124 1685261109186 2247014812248 2527891663779 3370522218372 5055783327558 6741044436744 10111566655116 20223133310232