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220423230104 = 237114120174327
BaseRepresentation
bin1100110101001000111…
…1111001001010011000
3210001221200012021022012
43031102033321022120
512102411321330404
6245132214445052
721632202353630
oct3152217711230
9701850167265
10220423230104
1185532192270
1236877363788
1317a2a5acb0c
14a9506976c0
155b01441a6e
hex33523f9298

220423230104 has 128 divisors (see below), whose sum is σ = 528226513920. Its totient is φ = 83723673600.

The previous prime is 220423230101. The next prime is 220423230173. The reversal of 220423230104 is 401032324022.

220423230104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220423230104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220423230101) by changing a digit.

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, 50939189 + ... + 50943515.

It is an arithmetic number, because the mean of its divisors is an integer number (4126769640).

Almost surely, 2220423230104 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 220423230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264113256960).

220423230104 is an abundant number, since it is smaller than the sum of its proper divisors (307803283816).

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

220423230104 is a wasteful number, since it uses less digits than its factorization.

220423230104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 220423230104 its reverse (401032324022), we get a palindrome (621455554126).

The spelling of 220423230104 in words is "two hundred twenty billion, four hundred twenty-three million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 574 616 902 1148 1804 2017 2296 3157 3608 4034 4327 6314 8068 8654 12628 14119 16136 17308 22187 25256 28238 30289 34616 44374 47597 56476 60578 82697 88748 95194 112952 121156 155309 165394 177407 177496 190388 242312 310618 330788 333179 354814 380776 578879 621236 661576 666358 709628 909667 1157758 1241849 1242472 1332716 1419256 1819334 1951477 2315516 2483698 2665432 3638668 3902954 4631032 4967396 6367669 7277336 7805908 8727559 9934792 12735338 13660339 15611816 17455118 25470676 27320678 34910236 50941352 54641356 61092913 69820472 96003149 109282712 122185826 192006298 244371652 357829919 384012596 488743304 672022043 715659838 768025192 1344044086 1431319676 2504809433 2688088172 2862639352 3936129109 5009618866 5376176344 7872258218 10019237732 15744516436 20038475464 27552903763 31489032872 55105807526 110211615052 220423230104