Search a number
-
+
2220739808 = 257312411327
BaseRepresentation
bin1000010001011101…
…1100110011100000
312201202201021022112
42010113130303200
514022002133213
61004210054452
7106013656040
oct20427346340
95652637275
102220739808
11a3a605761
1251b87a428
13295113731
14170d19720
15cee66ea8
hex845dcce0

2220739808 has 96 divisors (see below), whose sum is σ = 5183152128. Its totient is φ = 916531200.

The previous prime is 2220739753. The next prime is 2220739811. The reversal of 2220739808 is 8089370222.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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, 1672841 + ... + 1674167.

It is an arithmetic number, because the mean of its divisors is an integer number (53991168).

Almost surely, 22220739808 is an apocalyptic number.

2220739808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220739808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591576064).

2220739808 is an abundant number, since it is smaller than the sum of its proper divisors (2962412320).

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

2220739808 is a wasteful number, since it uses less digits than its factorization.

2220739808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 2220739808 is about 47124.7260787795. The cubic root of 2220739808 is about 1304.6656430688.

The spelling of 2220739808 in words is "two billion, two hundred twenty million, seven hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 241 248 434 482 496 868 964 992 1327 1687 1736 1928 2654 3374 3472 3856 5308 6748 6944 7471 7712 9289 10616 13496 14942 18578 21232 26992 29884 37156 41137 42464 52297 53984 59768 74312 82274 104594 119536 148624 164548 209188 239072 287959 297248 319807 329096 418376 575918 639614 658192 836752 1151836 1279228 1316384 1673504 2238649 2303672 2558456 4477298 4607344 5116912 8954596 9214688 9914017 10233824 17909192 19828034 35818384 39656068 69398119 71636768 79312136 138796238 158624272 277592476 317248544 555184952 1110369904 2220739808