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825684223 = 71313169263
BaseRepresentation
bin110001001101101…
…111000011111111
32010112200002211011
4301031233003333
53142333343343
6213533140051
726314125430
oct6115570377
92115602734
10825684223
11394093861
121b062a627
131020a6660
147b933487
154c74c29d
hex3136f0ff

825684223 has 16 divisors (see below), whose sum is σ = 1023998976. Its totient is φ = 648292320.

The previous prime is 825684217. The next prime is 825684253. The reversal of 825684223 is 322486528.

It is a happy number.

It is not a de Polignac number, because 825684223 - 217 = 825553151 is a prime.

It is a super-2 number, since 2×8256842232 = 1363508872222227458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825684253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22711 + ... + 46552.

It is an arithmetic number, because the mean of its divisors is an integer number (63999936).

Almost surely, 2825684223 is an apocalyptic number.

825684223 is a deficient number, since it is larger than the sum of its proper divisors (198314753).

825684223 is a wasteful number, since it uses less digits than its factorization.

825684223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69414.

The product of its digits is 184320, while the sum is 40.

The square root of 825684223 is about 28734.7215577252. The cubic root of 825684223 is about 938.1479388808.

The spelling of 825684223 in words is "eight hundred twenty-five million, six hundred eighty-four thousand, two hundred twenty-three".

Divisors: 1 7 13 91 131 917 1703 11921 69263 484841 900419 6302933 9073453 63514171 117954889 825684223