Search a number
-
+
220003404032 = 281926735531
BaseRepresentation
bin1100110011100100111…
…0011000100100000000
3210000212102012220012102
43030321032120210000
512101031332412112
6245022420245532
721615614036126
oct3147116304400
9700772186172
10220003404032
1185337205775
123677a8408a8
1317991619319
14a910a11916
155ac9663bc2
hex3339398900

220003404032 has 108 divisors (see below), whose sum is σ = 470407721616. Its totient is φ = 102653844480.

The previous prime is 220003404017. The next prime is 220003404067. The reversal of 220003404032 is 230404300022.

It is a junction number, because it is equal to n+sod(n) for n = 220003403995 and 220003404013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6174107 + ... + 6209637.

It is an arithmetic number, because the mean of its divisors is an integer number (4355627052).

Almost surely, 2220003404032 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 220003404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235203860808).

220003404032 is an abundant number, since it is smaller than the sum of its proper divisors (250404317584).

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

220003404032 is an equidigital number, since it uses as much as digits as its factorization.

220003404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35652 (or 35619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220003404032 its reverse (230404300022), we get a palindrome (450407704054).

The spelling of 220003404032 in words is "two hundred twenty billion, three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 268 304 361 536 608 722 1072 1216 1273 1444 2144 2432 2546 2888 4288 4864 5092 5776 8576 10184 11552 17152 20368 23104 24187 35531 40736 46208 48374 71062 81472 92416 96748 142124 162944 193496 284248 325888 386992 568496 675089 773984 1136992 1350178 1547968 2273984 2380577 2700356 3095936 4547968 4761154 5400712 6191872 9095936 9522308 10801424 12826691 19044616 21602848 25653382 38089232 43205696 45230963 51306764 76178464 86411392 90461926 102613528 152356928 172822784 180923852 205227056 304713856 361847704 410454112 609427712 723695408 820908224 859388297 1447390816 1641816448 1718776594 2894781632 3283632896 3437553188 5789563264 6875106376 11579126528 13750212752 27500425504 55000851008 110001702016 220003404032