Search a number
-
+
132286022274 = 23717929319937
BaseRepresentation
bin111101100110011011…
…1001000001010000010
3110122110020111012122110
41323030313020022002
54131410210203044
6140434340320150
712362112431220
oct1731467101202
9418406435573
10132286022274
115111401353a
122177a3a3056
13c622694733
14658cd39b10
1536938c36b9
hex1eccdc8282

132286022274 has 64 divisors (see below), whose sum is σ = 320204918016. Its totient is φ = 35567099904.

The previous prime is 132286022273. The next prime is 132286022299. The reversal of 132286022274 is 472220682231.

It is not an unprimeable number, because it can be changed into a prime (132286022273) 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 31 ways as a sum of consecutive naturals, for example, 6625234 + ... + 6645170.

It is an arithmetic number, because the mean of its divisors is an integer number (5003201844).

Almost surely, 2132286022274 is an apocalyptic number.

132286022274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132286022274 is an abundant number, since it is smaller than the sum of its proper divisors (187918895742).

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

132286022274 is a wasteful number, since it uses less digits than its factorization.

132286022274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29259.

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 132286022274 in words is "one hundred thirty-two billion, two hundred eighty-six million, twenty-two thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 9293 18586 19937 27879 39874 55758 59811 65051 119622 130102 139559 157981 195153 279118 315962 338929 390306 418677 473943 677858 837354 947886 1016787 1105867 2033574 2211734 2372503 3317601 4745006 6635202 7117509 14235018 185274541 370549082 555823623 1111647246 1296921787 2593843574 3149667197 3890765361 6299334394 7781530722 9449001591 18898003182 22047670379 44095340758 66143011137 132286022274