Search a number
-
+
332304000221 = 6161310978101
BaseRepresentation
bin1001101010111101101…
…11001010010011011101
31011202201211121021020202
410311132313022103131
520421024311001341
6412354111553245
733002542253114
oct4653667122335
91152654537222
10332304000221
11118a24a43846
125449bb2b825
132544a63983b
141212557ac7b
15899d6e979b
hex4d5edca4dd

332304000221 has 16 divisors (see below), whose sum is σ = 338652775728. Its totient is φ = 325985472000.

The previous prime is 332304000209. The next prime is 332304000247. The reversal of 332304000221 is 122000403233.

It can be written as a sum of positive squares in 8 ways, for example, as 49455532996 + 282848467225 = 222386^2 + 531835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332304000221 is a prime.

It is a super-2 number, since 2×3323040002212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332304000193 and 332304000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332304000251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41016071 + ... + 41024171.

It is an arithmetic number, because the mean of its divisors is an integer number (21165798483).

Almost surely, 2332304000221 is an apocalyptic number.

It is an amenable number.

332304000221 is a deficient number, since it is larger than the sum of its proper divisors (6348775507).

332304000221 is a wasteful number, since it uses less digits than its factorization.

332304000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 332304000221 its reverse (122000403233), we get a palindrome (454304403454).

The spelling of 332304000221 in words is "three hundred thirty-two billion, three hundred four million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 61 613 1097 8101 37393 66917 494161 672461 4965913 8886797 41020121 302920693 542094617 5447606561 332304000221