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212522320 = 2452656529
BaseRepresentation
bin11001010101011…
…01010101010000
3112210220020211001
430222231111100
5413401203240
633031031344
75160260413
oct1452552520
9483806731
10212522320
11a9a6618a
125b20b554
133504cc6a
1420321b7a
15139ce89a
hexcaad550

212522320 has 20 divisors (see below), whose sum is σ = 494114580. Its totient is φ = 85008896.

The previous prime is 212522293. The next prime is 212522327. The reversal of 212522320 is 23225212.

212522320 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 2 ways, for example, as 101767744 + 110754576 = 10088^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212522327) 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 3 ways as a sum of consecutive naturals, for example, 1328185 + ... + 1328344.

It is an arithmetic number, because the mean of its divisors is an integer number (24705729).

Almost surely, 2212522320 is an apocalyptic number.

212522320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212522320 is an abundant number, since it is smaller than the sum of its proper divisors (281592260).

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

212522320 is a wasteful number, since it uses less digits than its factorization.

212522320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656542 (or 2656536 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 212522320 is about 14578.1452866954. The cubic root of 212522320 is about 596.7624882086.

Adding to 212522320 its reverse (23225212), we get a palindrome (235747532).

The spelling of 212522320 in words is "two hundred twelve million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2656529 5313058 10626116 13282645 21252232 26565290 42504464 53130580 106261160 212522320