Search a number
-
+
2160353216 = 2678358099
BaseRepresentation
bin1000000011000100…
…0101111111000000
312120120002022111002
42000301011333000
513411022300331
6554211511132
7104351461610
oct20061057700
95516068432
102160353216
11a0951038a
125035b84a8
1328575c818
14166cbaa40
15c99d99cb
hex80c45fc0

2160353216 has 56 divisors (see below), whose sum is σ = 4958486400. Its totient is φ = 914694912.

The previous prime is 2160353191. The next prime is 2160353227. The reversal of 2160353216 is 6123530612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8135 + ... + 66233.

It is an arithmetic number, because the mean of its divisors is an integer number (88544400).

Almost surely, 22160353216 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 2160353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479243200).

2160353216 is an abundant number, since it is smaller than the sum of its proper divisors (2798133184).

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

2160353216 is an equidigital number, since it uses as much as digits as its factorization.

2160353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58201 (or 58191 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 2160353216 is about 46479.5999982788. The cubic root of 2160353216 is about 1292.7312713642.

Adding to 2160353216 its reverse (6123530612), we get a palindrome (8283883828).

The spelling of 2160353216 in words is "two billion, one hundred sixty million, three hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5312 9296 18592 37184 58099 116198 232396 406693 464792 813386 929584 1626772 1859168 3253544 3718336 4822217 6507088 9644434 13014176 19288868 26028352 33755519 38577736 67511038 77155472 135022076 154310944 270044152 308621888 540088304 1080176608 2160353216