Search a number
-
+
220430441424 = 24347731338473
BaseRepresentation
bin1100110101001010101…
…1011001101111010000
3210001222011202122101010
43031102223121233100
512102420143111144
6245133033210520
721632320560114
oct3152253315720
9701864678333
10220430441424
1185536268236
1236879860a40
1317a2bc3627b
14a951613744
155b01db85b9
hex3352ad9bd0

220430441424 has 80 divisors (see below), whose sum is σ = 589528196352. Its totient is φ = 70928308224.

The previous prime is 220430441411. The next prime is 220430441453. The reversal of 220430441424 is 424144034022.

220430441424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220430441391 and 220430441400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504549 + ... + 833924.

Almost surely, 2220430441424 is an apocalyptic number.

220430441424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220430441424 is an abundant number, since it is smaller than the sum of its proper divisors (369097754928).

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

220430441424 is a wasteful number, since it uses less digits than its factorization.

220430441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338604 (or 1338598 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 220430441424 its reverse (424144034022), we get a palindrome (644574475446).

The spelling of 220430441424 in words is "two hundred twenty billion, four hundred thirty million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 188 219 282 292 376 438 564 584 752 876 1128 1168 1752 2256 3431 3504 6862 10293 13724 20586 27448 41172 54896 82344 164688 1338473 2676946 4015419 5353892 8030838 10707784 16061676 21415568 32123352 62908231 64246704 97708529 125816462 188724693 195417058 251632924 293125587 377449386 390834116 503265848 586251174 754898772 781668232 1006531696 1172502348 1509797544 1563336464 2345004696 3019595088 4592300863 4690009392 9184601726 13776902589 18369203452 27553805178 36738406904 55107610356 73476813808 110215220712 220430441424