Search a number
-
+
2838231160 = 2352917913669
BaseRepresentation
bin1010100100101011…
…1111100001111000
321022210122002012121
42221022333201320
521303041344120
61145345051024
7130222365262
oct25112774170
97283562177
102838231160
111227120096
12672626a74
1336302492b
141ccd36b32
1511928c5aa
hexa92bf878

2838231160 has 64 divisors (see below), whose sum is σ = 6643620000. Its totient is φ = 1089940992.

The previous prime is 2838231127. The next prime is 2838231163. The reversal of 2838231160 is 611328382.

It is a happy number.

It is a super-2 number, since 2×28382311602 = 16111112235189891200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838231163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 200806 + ... + 214474.

Almost surely, 22838231160 is an apocalyptic number.

2838231160 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 2838231160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321810000).

2838231160 is an abundant number, since it is smaller than the sum of its proper divisors (3805388840).

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

2838231160 is a wasteful number, since it uses less digits than its factorization.

2838231160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13888 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2838231160 is about 53275.0519474172. The cubic root of 2838231160 is about 1415.8456839184.

The spelling of 2838231160 in words is "two billion, eight hundred thirty-eight million, two hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 179 232 290 358 580 716 895 1160 1432 1790 3580 5191 7160 10382 13669 20764 25955 27338 41528 51910 54676 68345 103820 109352 136690 207640 273380 396401 546760 792802 1585604 1982005 2446751 3171208 3964010 4893502 7928020 9787004 12233755 15856040 19574008 24467510 48935020 70955779 97870040 141911558 283823116 354778895 567646232 709557790 1419115580 2838231160