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851764225 = 521324492
BaseRepresentation
bin110010110001001…
…110010000000001
32012100202002212011
4302301032100001
53221022423400
6220304132521
730051606424
oct6261162001
92170662764
10851764225
113a7887084
121b9307141
13107608300
14811a19bb
154eb9e8ba
hex32c4e401

851764225 has 27 divisors (see below), whose sum is σ = 1146235323. Its totient is φ = 627594240.

The previous prime is 851764211. The next prime is 851764229. The reversal of 851764225 is 522467158.

The square root of 851764225 is 29185.

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

It can be written as a sum of positive squares in 13 ways, for example, as 743271169 + 108493056 = 27263^2 + 10416^2 .

It is not a de Polignac number, because 851764225 - 219 = 851239937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (851764229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1896801 + ... + 1897249.

Almost surely, 2851764225 is an apocalyptic number.

851764225 is the 29185-th square number.

851764225 is the 14593-rd centered octagonal number.

It is an amenable number.

851764225 is a deficient number, since it is larger than the sum of its proper divisors (294471098).

851764225 is an equidigital number, since it uses as much as digits as its factorization.

851764225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The cubic root of 851764225 is about 947.9231546041.

It can be divided in two parts, 85176 and 4225, that added together give a square (89401 = 2992).

The spelling of 851764225 in words is "eight hundred fifty-one million, seven hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 449 845 2245 4225 5837 11225 29185 75881 145925 201601 379405 1008005 1897025 2620813 5040025 13104065 34070569 65520325 170352845 851764225