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33480225 = 3252178753
BaseRepresentation
bin111111110110…
…1111000100001
32022222222020100
41333231320201
532032331400
63153333013
7554401662
oct177557041
968888210
1033480225
1117998209
12b267169
136c230ac
144637369
152e15100
hex1fede21

33480225 has 36 divisors (see below), whose sum is σ = 63501516. Its totient is φ = 16803840.

The previous prime is 33480179. The next prime is 33480241. The reversal of 33480225 is 52208433.

It can be written as a sum of positive squares in 6 ways, for example, as 1535121 + 31945104 = 1239^2 + 5652^2 .

It is not a de Polignac number, because 33480225 - 29 = 33479713 is a prime.

It is a super-2 number, since 2×334802252 = 2241850932101250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 552 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (1763931).

Almost surely, 233480225 is an apocalyptic number.

It is an amenable number.

33480225 is a deficient number, since it is larger than the sum of its proper divisors (30021291).

33480225 is a wasteful number, since it uses less digits than its factorization.

33480225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33480225 is about 5786.2098994074. The cubic root of 33480225 is about 322.3018432958.

Adding to 33480225 its reverse (52208433), we get a palindrome (85688658).

The spelling of 33480225 in words is "thirty-three million, four hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 8753 26259 43765 78777 131295 148801 218825 393885 446403 656475 744005 1339209 1969425 2232015 3720025 6696045 11160075 33480225