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8822125 = 53136189
BaseRepresentation
bin100001101001…
…110101101101
3121121012200101
4201221311231
54224302000
6513031101
7134662324
oct41516555
917535611
108822125
114a86214
122b55491
131a9b6c0
1412590bb
15b93e6a
hex869d6d

8822125 has 32 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 6336000.

The previous prime is 8822111. The next prime is 8822129. The reversal of 8822125 is 5212288.

It can be written as a sum of positive squares in 16 ways, for example, as 8749764 + 72361 = 2958^2 + 269^2 .

It is not a de Polignac number, because 8822125 - 213 = 8813933 is a prime.

8822125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8822093 and 8822102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8822129) 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 31 ways as a sum of consecutive naturals, for example, 99081 + ... + 99169.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 28822125 is an apocalyptic number.

It is an amenable number.

8822125 is a deficient number, since it is larger than the sum of its proper divisors (3364595).

8822125 is a wasteful number, since it uses less digits than its factorization.

8822125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 8822125 is about 2970.2062217967. The cubic root of 8822125 is about 206.6289025113.

The spelling of 8822125 in words is "eight million, eight hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 61 65 89 125 305 325 445 793 1157 1525 1625 2225 3965 5429 5785 7625 11125 19825 27145 28925 70577 99125 135725 144625 352885 678625 1764425 8822125