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212618825 = 5241207433
BaseRepresentation
bin11001010110001…
…00111001001001
3112211002011012022
430223010321021
5413412300300
633033054225
75161141646
oct1453047111
9484064168
10212618825
11aa021741
125b257375
1335084b73
1420348dcd
15139ed285
hexcac4e49

212618825 has 12 divisors (see below), whose sum is σ = 270079068. Its totient is φ = 165945600.

The previous prime is 212618773. The next prime is 212618849. The reversal of 212618825 is 528816212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42994249 + 169624576 = 6557^2 + 13024^2 .

It is not a de Polignac number, because 212618825 - 212 = 212614729 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 11 ways as a sum of consecutive naturals, for example, 102692 + ... + 104741.

It is an arithmetic number, because the mean of its divisors is an integer number (22506589).

Almost surely, 2212618825 is an apocalyptic number.

212618825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212618825 is a deficient number, since it is larger than the sum of its proper divisors (57460243).

212618825 is a wasteful number, since it uses less digits than its factorization.

212618825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207484 (or 207479 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 212618825 is about 14581.4548313946. The cubic root of 212618825 is about 596.8528031912.

The spelling of 212618825 in words is "two hundred twelve million, six hundred eighteen thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 205 1025 207433 1037165 5185825 8504753 42523765 212618825