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3339106225 = 52721321272
BaseRepresentation
bin1100011100000110…
…1011011110110001
322121201010011121221
43013001223132301
523314302344400
61311200345041
7145513635400
oct30701533661
98551104557
103339106225
111463924a24
12792315181
13412a25100
14239679637
15148229c1a
hexc706b7b1

3339106225 has 81 divisors (see below), whose sum is σ = 5256879777. Its totient is φ = 2096902080.

The previous prime is 3339106217. The next prime is 3339106249. The reversal of 3339106225 is 5226019333.

The square root of 3339106225 is 57785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 860659569 + 2478446656 = 29337^2 + 49784^2 .

It is not a de Polignac number, because 3339106225 - 23 = 3339106217 is a prime.

It is a super-2 number, since 2×33391062252 = 22299260763667501250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 26292112 + ... + 26292238.

Almost surely, 23339106225 is an apocalyptic number.

3339106225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3339106225 is the 57785-th square number.

3339106225 is the 28893-rd centered octagonal number.

It is an amenable number.

3339106225 is a deficient number, since it is larger than the sum of its proper divisors (1917773552).

3339106225 is a wasteful number, since it uses less digits than its factorization.

3339106225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The cubic root of 3339106225 is about 1494.6634403062.

The spelling of 3339106225 in words is "three billion, three hundred thirty-nine million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 127 169 175 245 325 455 635 637 845 889 1183 1225 1651 2275 3175 3185 4225 4445 5915 6223 8255 8281 11557 15925 16129 21463 22225 29575 31115 41275 41405 57785 80645 80899 107315 112903 150241 155575 207025 209677 288925 403225 404495 536575 564515 751205 790321 1048385 1051687 1467739 2022475 2725801 2822575 3756025 3951605 5241925 5258435 7338695 10274173 13629005 19080607 19758025 26292175 36693475 51370865 68145025 95403035 133564249 256854325 477015175 667821245 3339106225