Search a number
-
+
2132231310 = 233511717923
BaseRepresentation
bin111111100010111…
…0100010010001110
312111121011120111000
41333011310102032
513331322400220
6551325041130
7103560444546
oct17705642216
95447146430
102132231310
119a4652a40
124b60b61a6
1327c994641
1416327a326
15c72d2390
hex7f17448e

2132231310 has 64 divisors (see below), whose sum is σ = 6202863360. Its totient is φ = 516903840.

The previous prime is 2132231279. The next prime is 2132231323. The reversal of 2132231310 is 131322312.

2132231310 is a `hidden beast` number, since 2 + 1 + 322 + 31 + 310 = 666.

It is a super-2 number, since 2×21322313102 = 9092820718688632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 355992 + ... + 361931.

It is an arithmetic number, because the mean of its divisors is an integer number (96919740).

Almost surely, 22132231310 is an apocalyptic number.

2132231310 is an abundant number, since it is smaller than the sum of its proper divisors (4070632050).

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

2132231310 is a wasteful number, since it uses less digits than its factorization.

2132231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717950 (or 717944 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2132231310 is about 46176.0902415958. The cubic root of 2132231310 is about 1287.0974763299.

Adding to 2132231310 its reverse (131322312), we get a palindrome (2263553622).

The spelling of 2132231310 in words is "two billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 717923 1435846 2153769 3589615 4307538 6461307 7179230 7897153 10768845 12922614 15794306 19383921 21537690 23691459 32306535 38767842 39485765 47382918 64613070 71074377 78971530 96919605 118457295 142148754 193839210 213223131 236914590 355371885 426446262 710743770 1066115655 2132231310