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212522000 = 2453106261
BaseRepresentation
bin11001010101011…
…01010000010000
3112210220020101012
430222231100100
5413401201000
633031030052
75160256445
oct1452552020
9483806335
10212522000
11a9a65a19
125b20b328
133504ca82
14203219cc
15139ce735
hexcaad410

212522000 has 40 divisors (see below), whose sum is σ = 513883032. Its totient is φ = 85008000.

The previous prime is 212521999. The next prime is 212522003. The reversal of 212522000 is 225212.

212522000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 68425984 + 144096016 = 8272^2 + 12004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212522003) 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 7 ways as a sum of consecutive naturals, for example, 51131 + ... + 55130.

Almost surely, 2212522000 is an apocalyptic number.

212522000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212522000 is an abundant number, since it is smaller than the sum of its proper divisors (301361032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212522000 is a wasteful number, since it uses less digits than its factorization.

212522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106284 (or 106268 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 212522000 is about 14578.1343113582. The cubic root of 212522000 is about 596.7621886885.

Adding to 212522000 its reverse (225212), we get a palindrome (212747212).

The spelling of 212522000 in words is "two hundred twelve million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 106261 212522 425044 531305 850088 1062610 1700176 2125220 2656525 4250440 5313050 8500880 10626100 13282625 21252200 26565250 42504400 53130500 106261000 212522000