Search a number
-
+
220269092864 = 213163293563
BaseRepresentation
bin1100110100100100001…
…1111010000000000000
3210001112221011021202112
43031021003322000000
512102102341432424
6245105031034452
721625321253132
oct3151103720000
9701487137675
10220269092864
1185463184717
123683380ba28
1317a04692a52
14a938013052
155ae2b4660e
hex33490fa000

220269092864 has 112 divisors (see below), whose sum is σ = 445516418592. Its totient is φ = 108891537408.

The previous prime is 220269092861. The next prime is 220269092891. The reversal of 220269092864 is 468290962022.

It is a super-2 number, since 2×2202690928642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220269092861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391241447 + ... + 391242009.

It is an arithmetic number, because the mean of its divisors is an integer number (3977825166).

Almost surely, 2220269092864 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 220269092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222758209296).

220269092864 is an abundant number, since it is smaller than the sum of its proper divisors (225247325728).

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

220269092864 is an equidigital number, since it uses as much as digits as its factorization.

220269092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 220269092864 in words is "two hundred twenty billion, two hundred sixty-nine million, ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 163 256 293 326 512 563 586 652 1024 1126 1172 1304 2048 2252 2344 2608 4096 4504 4688 5216 8192 9008 9376 10432 18016 18752 20864 36032 37504 41728 47759 72064 75008 83456 91769 95518 144128 150016 164959 166912 183538 191036 288256 300032 329918 333824 367076 382072 576512 600064 659836 667648 734152 764144 1153024 1200128 1319672 1335296 1468304 1528288 2306048 2400256 2639344 2936608 3056576 4612096 5278688 5873216 6113152 10557376 11746432 12226304 21114752 23492864 24452608 26888317 42229504 46985728 48905216 53776634 84459008 93971456 97810432 107553268 168918016 187942912 195620864 215106536 337836032 375885824 391241728 430213072 675672064 751771648 860426144 1351344128 1720852288 3441704576 6883409152 13766818304 27533636608 55067273216 110134546432 220269092864