Search a number
-
+
2183140206 = 2321317952121
BaseRepresentation
bin1000001000100000…
…0001001101101110
312122010222000100200
42002020001031232
513432340441311
61000344134330
7105046246152
oct20210011556
95563860320
102183140206
11a20364605
1250b1673a6
1328a3aa650
14169d2d062
15cb9db556
hex8220136e

2183140206 has 48 divisors (see below), whose sum is σ = 5122550160. Its totient is φ = 667969920.

The previous prime is 2183140199. The next prime is 2183140207. The reversal of 2183140206 is 6020413812.

It is a super-2 number, since 2×21831402062 = 9532202318107444872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2183140206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2183140207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15826 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (106719795).

Almost surely, 22183140206 is an apocalyptic number.

2183140206 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 2183140206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561275080).

2183140206 is an abundant number, since it is smaller than the sum of its proper divisors (2939409954).

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

2183140206 is a wasteful number, since it uses less digits than its factorization.

2183140206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52321 (or 52318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2183140206 is about 46724.0859300640. The cubic root of 2183140206 is about 1297.2605440919.

The spelling of 2183140206 in words is "two billion, one hundred eighty-three million, one hundred forty thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 358 537 1074 1611 2327 3222 4654 6981 13962 20943 41886 52121 104242 156363 312726 469089 677573 938178 1355146 2032719 4065438 6098157 9329659 12196314 18659318 27988977 55977954 83966931 121285567 167933862 242571134 363856701 727713402 1091570103 2183140206