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212518425 = 3527563719
BaseRepresentation
bin11001010101011…
…00011000011001
3112210220001110210
430222230120121
5413401042200
633031001333
75160243150
oct1452543031
9483801423
10212518425
11a9a63269
125b209249
133504b262
1420320597
15139cd650
hexcaac619

212518425 has 48 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 96843840.

The previous prime is 212518391. The next prime is 212518433. The reversal of 212518425 is 524815212.

It is not a de Polignac number, because 212518425 - 27 = 212518297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212518392 and 212518401.

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 47 ways as a sum of consecutive naturals, for example, 295216 + ... + 295934.

It is an arithmetic number, because the mean of its divisors is an integer number (8392320).

Almost surely, 2212518425 is an apocalyptic number.

212518425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212518425 is a deficient number, since it is larger than the sum of its proper divisors (190312935).

212518425 is a wasteful number, since it uses less digits than its factorization.

212518425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1297 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 212518425 is about 14578.0116957012. The cubic root of 212518425 is about 596.7588424674.

The spelling of 212518425 in words is "two hundred twelve million, five hundred eighteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 563 719 1689 2157 2815 3595 3941 5033 8445 10785 11823 14075 15099 17975 19705 25165 42225 53925 59115 75495 98525 125825 295575 377475 404797 1214391 2023985 2833579 6071955 8500737 10119925 14167895 30359775 42503685 70839475 212518425