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212540200 = 23521062701
BaseRepresentation
bin11001010101100…
…01101100101000
3112210221011100021
430222301230220
5413402241300
633031250224
75160363505
oct1452615450
9483834307
10212540200
11a9a78664
125b219974
1335058142
14203284ac
15139d4d1a
hexcab1b28

212540200 has 24 divisors (see below), whose sum is σ = 494156430. Its totient is φ = 85016000.

The previous prime is 212540197. The next prime is 212540219. The reversal of 212540200 is 2045212.

It can be written as a sum of positive squares in 3 ways, for example, as 165945924 + 46594276 = 12882^2 + 6826^2 .

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 5 ways as a sum of consecutive naturals, for example, 531151 + ... + 531550.

Almost surely, 2212540200 is an apocalyptic number.

212540200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212540200 is an abundant number, since it is smaller than the sum of its proper divisors (281616230).

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

212540200 is a wasteful number, since it uses less digits than its factorization.

212540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062717 (or 1062708 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 212540200 is about 14578.7585205325. The cubic root of 212540200 is about 596.7792234140.

Adding to 212540200 its reverse (2045212), we get a palindrome (214585412).

The spelling of 212540200 in words is "two hundred twelve million, five hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1062701 2125402 4250804 5313505 8501608 10627010 21254020 26567525 42508040 53135050 106270100 212540200