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8322000625 = 54412892
BaseRepresentation
bin1111100000000011…
…11010011011110001
3210110222022102201101
413300001322123301
5114020413010000
63453441204401
7413140560331
oct76001723361
923428272641
108322000625
113590609274
121743030701
13a28174b33
1458d3670c1
1533a902e6a
hex1f007a6f1

8322000625 has 45 divisors (see below), whose sum is σ = 10780106293. Its totient is φ = 6422240000.

The previous prime is 8322000611. The next prime is 8322000647. The reversal of 8322000625 is 5260002238.

The square root of 8322000625 is 91225.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 1209439729 + 7112560896 = 34777^2 + 84336^2 .

It is not a de Polignac number, because 8322000625 - 25 = 8322000593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8322000593 and 8322000602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93505581 + ... + 93505669.

Almost surely, 28322000625 is an apocalyptic number.

8322000625 is the 91225-th square number.

8322000625 is the 45613-rd centered octagonal number.

It is an amenable number.

8322000625 is a deficient number, since it is larger than the sum of its proper divisors (2458105668).

8322000625 is an frugal number, since it uses more digits than its factorization.

8322000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The cubic root of 8322000625 is about 2026.4812106521.

The spelling of 8322000625 in words is "eight billion, three hundred twenty-two million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 41 89 125 205 445 625 1025 1681 2225 3649 5125 7921 8405 11125 18245 25625 39605 42025 55625 91225 149609 198025 210125 324761 456125 748045 990125 1050625 1623805 2280625 3740225 4950625 8119025 13315201 18701125 40595125 66576005 93505625 202975625 332880025 1664400125 8322000625