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332228890449 = 3222928392
BaseRepresentation
bin1001101010110100110…
…00101000111101010001
31011202112121021022000100
410311122120220331101
520420401043443244
6412342430043013
733000640655151
oct4653230507521
91152477238010
10332228890449
11118996602755
125447a949469
1325437bcc2a1
14121195c8761
158996d0eb69
hex4d5a628f51

332228890449 has 27 divisors (see below), whose sum is σ = 482566066203. Its totient is φ = 220255904304.

The previous prime is 332228890439. The next prime is 332228890457. The reversal of 332228890449 is 944098822233.

The square root of 332228890449 is 576393.

It is a perfect power (a square), and thus also a powerful number.

332228890449 is a `hidden beast` number, since 3 + 32 + 2 + 2 + 88 + 90 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309421850049 + 22807040400 = 556257^2 + 151020^2 .

It is not a de Polignac number, because 332228890449 - 25 = 332228890417 is a prime.

It is a super-2 number, since 2×3322288904492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332228890395 and 332228890404.

It is not an unprimeable number, because it can be changed into a prime (332228890439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 395981572 + ... + 395982410.

Almost surely, 2332228890449 is an apocalyptic number.

332228890449 is the 576393-rd square number.

332228890449 is the 288197-th centered octagonal number.

It is an amenable number.

332228890449 is a deficient number, since it is larger than the sum of its proper divisors (150337175754).

332228890449 is an frugal number, since it uses more digits than its factorization.

332228890449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 332228890449 in words is "three hundred thirty-two billion, two hundred twenty-eight million, eight hundred ninety thousand, four hundred forty-nine".

Divisors: 1 3 9 229 687 839 2061 2517 7551 52441 157323 192131 471969 576393 703921 1729179 2111763 6335289 43997999 131993997 161197909 395981991 483593727 1450781181 36914321161 110742963483 332228890449