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8235225 = 3252172153
BaseRepresentation
bin11111011010100011011001
3120111101121100
4133122203121
54102011400
6452302013
7126666255
oct37324331
916441540
108235225
114715279
122911909
13192451b
141145265
15aca100
hex7da8d9

8235225 has 36 divisors (see below), whose sum is σ = 15625116. Its totient is φ = 4131840.

The previous prime is 8235209. The next prime is 8235229. The reversal of 8235225 is 5225328.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 7733961 = 708^2 + 2781^2 .

It is not a de Polignac number, because 8235225 - 24 = 8235209 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8235229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2749 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (434031).

Almost surely, 28235225 is an apocalyptic number.

8235225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8235225 is a deficient number, since it is larger than the sum of its proper divisors (7389891).

8235225 is a wasteful number, since it uses less digits than its factorization.

8235225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2178 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 8235225 is about 2869.7081733166. The cubic root of 8235225 is about 201.9413040584.

The spelling of 8235225 in words is "eight million, two hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 2153 3825 6459 10765 19377 32295 36601 53825 96885 109803 161475 183005 329409 484425 549015 915025 1647045 2745075 8235225