Search a number
-
+
2442241332 = 223267840037
BaseRepresentation
bin1001000110010001…
…1010010100110100
320022012111201021200
42101210122110310
520000203210312
61042201412500
7114343465056
oct22144322464
96265451250
102442241332
111043644073
12581a9a130
132cbc8871b
141924d78d6
15e461c0dc
hex9191a534

2442241332 has 18 divisors (see below), whose sum is σ = 6173443458. Its totient is φ = 814080432.

The previous prime is 2442241331. The next prime is 2442241357. The reversal of 2442241332 is 2331422442.

2442241332 is a `hidden beast` number, since 244 + 2 + 2 + 413 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1613146896 + 829094436 = 40164^2 + 28794^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2442241296 and 2442241305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442241331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33919983 + ... + 33920054.

It is an arithmetic number, because the mean of its divisors is an integer number (342969081).

Almost surely, 22442241332 is an apocalyptic number.

It is an amenable number.

2442241332 is an abundant number, since it is smaller than the sum of its proper divisors (3731202126).

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

2442241332 is a wasteful number, since it uses less digits than its factorization.

2442241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67840047 (or 67840042 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2442241332 is about 49419.0381533271. The cubic root of 2442241332 is about 1346.6751894972.

Adding to 2442241332 its reverse (2331422442), we get a palindrome (4773663774).

The spelling of 2442241332 in words is "two billion, four hundred forty-two million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67840037 135680074 203520111 271360148 407040222 610560333 814080444 1221120666 2442241332