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9600225 = 352196737
BaseRepresentation
bin100100100111…
…110011100001
3200001202000220
4210213303201
54424201400
6541433253
7144412665
oct44476341
920052026
109600225
115467878
12326b829
131cb190b
1413bc8a5
15c997a0
hex927ce1

9600225 has 24 divisors (see below), whose sum is σ = 16710240. Its totient is φ = 4849920.

The previous prime is 9600181. The next prime is 9600251. The reversal of 9600225 is 5220069.

9600225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9600225 - 26 = 9600161 is a prime.

9600225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9600195 and 9600204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (696260).

Almost surely, 29600225 is an apocalyptic number.

9600225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9600225 is a deficient number, since it is larger than the sum of its proper divisors (7110015).

9600225 is a wasteful number, since it uses less digits than its factorization.

9600225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 9600225 is about 3098.4229859721. The cubic root of 9600225 is about 212.5333742276.

The spelling of 9600225 in words is "nine million, six hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 285 475 1425 6737 20211 33685 101055 128003 168425 384009 505275 640015 1920045 3200075 9600225