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2271071634 = 2313194493413
BaseRepresentation
bin1000011101011101…
…1100110110010010
312212021102101121020
42013113130312102
514122343243014
61013204540310
7110164535046
oct20727346622
95767371536
102271071634
11a65a62807
125346b1696
132a2686b90
1417789c026
15d45aa1a9
hex875dcd92

2271071634 has 64 divisors (see below), whose sum is σ = 5161968000. Its totient is φ = 660344832.

The previous prime is 2271071623. The next prime is 2271071641. The reversal of 2271071634 is 4361701722.

It is a junction number, because it is equal to n+sod(n) for n = 2271071595 and 2271071604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663712 + ... + 667124.

It is an arithmetic number, because the mean of its divisors is an integer number (80655750).

Almost surely, 22271071634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271071634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580984000).

2271071634 is an abundant number, since it is smaller than the sum of its proper divisors (2890896366).

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

2271071634 is a wasteful number, since it uses less digits than its factorization.

2271071634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2271071634 is about 47655.7618132372. The cubic root of 2271071634 is about 1314.4486084342.

The spelling of 2271071634 in words is "two billion, two hundred seventy-one million, seventy-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 449 494 741 898 1347 1482 2694 3413 5837 6826 8531 10239 11674 17062 17511 20478 25593 35022 44369 51186 64847 88738 110903 129694 133107 194541 221806 266214 332709 389082 665418 843011 1532437 1686022 2529033 3064874 4597311 5058066 9194622 19921681 29116303 39843362 58232606 59765043 87348909 119530086 174697818 378511939 757023878 1135535817 2271071634