Search a number
-
+
2663936220 = 2235119741611
BaseRepresentation
bin1001111011001000…
…0111000011011100
320212122122222111110
42132302013003130
520423431424340
61120201222020
7123005040621
oct23662070334
96778588443
102663936220
1111477a4790
12624191910
13335b9a72a
141b3b26348
15108d0e680
hex9ec870dc

2663936220 has 96 divisors (see below), whose sum is σ = 8221199616. Its totient is φ = 639129600.

The previous prime is 2663936213. The next prime is 2663936257. The reversal of 2663936220 is 226393662.

It is a happy number.

2663936220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×26639362204 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43215 + ... + 84825.

It is an arithmetic number, because the mean of its divisors is an integer number (85637496).

Almost surely, 22663936220 is an apocalyptic number.

2663936220 is a gapful number since it is divisible by the number (20) 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 2663936220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110599808).

2663936220 is an abundant number, since it is smaller than the sum of its proper divisors (5557263396).

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

2663936220 is a wasteful number, since it uses less digits than its factorization.

2663936220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41731 (or 41729 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 2663936220 is about 51613.3337423577. Note that the first 3 decimals coincide. The cubic root of 2663936220 is about 1386.2490905754.

The spelling of 2663936220 in words is "two billion, six hundred sixty-three million, nine hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 21340 32010 41611 64020 83222 124833 166444 208055 249666 416110 457721 499332 624165 832220 915442 1248330 1373163 1830884 2288605 2496660 2746326 4036267 4577210 5492652 6865815 8072534 9154420 12108801 13731630 16145068 20181335 24217602 27463260 40362670 44398937 48435204 60544005 80725340 88797874 121088010 133196811 177595748 221994685 242176020 266393622 443989370 532787244 665984055 887978740 1331968110 2663936220