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214571825 = 52135312457
BaseRepresentation
bin11001100101000…
…01101100110001
3112221202101012122
430302201230301
5414412244300
633143004025
75213554556
oct1462415461
9487671178
10214571825
11100135a96
125ba39615
13355b9aa0
14206d6a2d
1513c86c85
hexcca1b31

214571825 has 24 divisors (see below), whose sum is σ = 291965688. Its totient is φ = 155450880.

The previous prime is 214571813. The next prime is 214571827. The reversal of 214571825 is 528175412.

It can be written as a sum of positive squares in 12 ways, for example, as 38850289 + 175721536 = 6233^2 + 13256^2 .

It is not a de Polignac number, because 214571825 - 226 = 147462961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214571827) 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 23 ways as a sum of consecutive naturals, for example, 10997 + ... + 23453.

It is an arithmetic number, because the mean of its divisors is an integer number (12165237).

Almost surely, 2214571825 is an apocalyptic number.

214571825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214571825 is a deficient number, since it is larger than the sum of its proper divisors (77393863).

214571825 is a wasteful number, since it uses less digits than its factorization.

214571825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12528 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 214571825 is about 14648.2703757133. The cubic root of 214571825 is about 598.6746904873.

The spelling of 214571825 in words is "two hundred fourteen million, five hundred seventy-one thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 53 65 265 325 689 1325 3445 12457 17225 62285 161941 311425 660221 809705 3301105 4048525 8582873 16505525 42914365 214571825