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3282222321 = 32727442681
BaseRepresentation
bin1100001110100010…
…1011110011110001
322110202002011120200
43003220223303301
523210222103241
61301405225413
7144223300200
oct30350536361
98422064520
103282222321
111434802234
12777262269
13403cc95b1
14231cad237
151432404b6
hexc3a2bcf1

3282222321 has 18 divisors (see below), whose sum is σ = 5515027362. Its totient is φ = 1875555360.

The previous prime is 3282222311. The next prime is 3282222329. The reversal of 3282222321 is 1232222823.

It can be written as a sum of positive squares in only one way, i.e., 2944581696 + 337640625 = 54264^2 + 18375^2 .

It is not a de Polignac number, because 3282222321 - 26 = 3282222257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3282222329) 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 17 ways as a sum of consecutive naturals, for example, 3720900 + ... + 3721781.

It is an arithmetic number, because the mean of its divisors is an integer number (306390409).

Almost surely, 23282222321 is an apocalyptic number.

It is an amenable number.

3282222321 is a deficient number, since it is larger than the sum of its proper divisors (2232805041).

3282222321 is a wasteful number, since it uses less digits than its factorization.

3282222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442701 (or 7442691 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3282222321 is about 57290.6826717923. The cubic root of 3282222321 is about 1486.1272521112.

The spelling of 3282222321 in words is "three billion, two hundred eighty-two million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 7442681 22328043 52098767 66984129 156296301 364691369 468888903 1094074107 3282222321