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822508225 = 52711479091
BaseRepresentation
bin110001000001100…
…111101011000001
32010022200202011121
4301001213223001
53141030230400
6213341112241
726245130110
oct6101475301
92108622147
10822508225
11392314670
121ab558681
13101533b76
147b347c77
154c32121a
hex31067ac1

822508225 has 48 divisors (see below), whose sum is σ = 1298774016. Its totient is φ = 501768000.

The previous prime is 822508207. The next prime is 822508249. The reversal of 822508225 is 522805228.

It is a de Polignac number, because none of the positive numbers 2k-822508225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 85930 + ... + 95020.

It is an arithmetic number, because the mean of its divisors is an integer number (27057792).

Almost surely, 2822508225 is an apocalyptic number.

It is an amenable number.

822508225 is a deficient number, since it is larger than the sum of its proper divisors (476265791).

822508225 is a wasteful number, since it uses less digits than its factorization.

822508225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 822508225 is about 28679.4041953455. The cubic root of 822508225 is about 936.9435299106.

The spelling of 822508225 in words is "eight hundred twenty-two million, five hundred eight thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 47 55 77 175 235 275 329 385 517 1175 1645 1925 2585 3619 8225 9091 12925 18095 45455 63637 90475 100001 227275 318185 427277 500005 700007 1590925 2136385 2500025 2990939 3500035 4700047 10681925 14954695 17500175 23500235 32900329 74773475 117501175 164501645 822508225