Search a number
-
+
2171983086 = 23571367733
BaseRepresentation
bin1000000101110101…
…1101010011101110
312121100222011200000
42001131131103232
513422011424321
6555305045130
7104552360130
oct20135352356
95540864600
102171983086
11a15034049
125074867a6
13287ca21c0
14168667050
15caa35826
hex8175d4ee

2171983086 has 192 divisors, whose sum is σ = 6104437248. Its totient is φ = 563511168.

The previous prime is 2171983031. The next prime is 2171983097. The reversal of 2171983086 is 6803891712.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2962776 + ... + 2963508.

It is an arithmetic number, because the mean of its divisors is an integer number (31793944).

Almost surely, 22171983086 is an apocalyptic number.

2171983086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171983086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052218624).

2171983086 is an abundant number, since it is smaller than the sum of its proper divisors (3932454162).

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

2171983086 is a wasteful number, since it uses less digits than its factorization.

2171983086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2171983086 is about 46604.5393282672. The cubic root of 2171983086 is about 1295.0468493260.

The spelling of 2171983086 in words is "two billion, one hundred seventy-one million, nine hundred eighty-three thousand, eighty-six".