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3345105225 = 352711579239
BaseRepresentation
bin1100011101100010…
…0100000101001001
322122010101221201010
43013120210011021
523322321331400
61311533114133
7145615632240
oct30730440511
98563357633
103345105225
111467252080
12794328949
13414045807
1423a39b957
15148a12450
hexc7624149

3345105225 has 48 divisors (see below), whose sum is σ = 6895272960. Its totient is φ = 1390171200.

The previous prime is 3345105223. The next prime is 3345105233. The reversal of 3345105225 is 5225015433.

It is not a de Polignac number, because 3345105225 - 21 = 3345105223 is a prime.

It is a super-2 number, since 2×33451052252 = 22379457932644601250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3345105192 and 3345105201.

It is not an unprimeable number, because it can be changed into a prime (3345105223) 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 47 ways as a sum of consecutive naturals, for example, 283845 + ... + 295394.

It is an arithmetic number, because the mean of its divisors is an integer number (143651520).

Almost surely, 23345105225 is an apocalyptic number.

3345105225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3345105225 is an abundant number, since it is smaller than the sum of its proper divisors (3550167735).

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

3345105225 is a wasteful number, since it uses less digits than its factorization.

3345105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579270 (or 579265 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 3345105225 is about 57836.8846412045. The cubic root of 3345105225 is about 1495.5580032054.

The spelling of 3345105225 in words is "three billion, three hundred forty-five million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 579239 1737717 2896195 4054673 6371629 8688585 12164019 14480975 19114887 20273365 31858145 43442925 44601403 60820095 95574435 101366825 133804209 159290725 223007015 304100475 477872175 669021045 1115035075 3345105225