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212625073 is a prime number
BaseRepresentation
bin11001010110001…
…10011010110001
3112211002110202201
430223012122301
5413413000243
633033143201
75161166113
oct1453063261
9484073681
10212625073
11aa026401
125b25ab01
133508796b
142034b3b3
1513a0004d
hexcac66b1

212625073 has 2 divisors, whose sum is σ = 212625074. Its totient is φ = 212625072.

The previous prime is 212625059. The next prime is 212625163. The reversal of 212625073 is 370526212.

212625073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158558464 + 54066609 = 12592^2 + 7353^2 .

It is a cyclic number.

It is not a de Polignac number, because 212625073 - 29 = 212624561 is a prime.

It is a super-3 number, since 3×2126250733 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212625173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106312536 + 106312537.

It is an arithmetic number, because the mean of its divisors is an integer number (106312537).

Almost surely, 2212625073 is an apocalyptic number.

It is an amenable number.

212625073 is a deficient number, since it is larger than the sum of its proper divisors (1).

212625073 is an equidigital number, since it uses as much as digits as its factorization.

212625073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 212625073 is about 14581.6690745607. The cubic root of 212625073 is about 596.8586494904.

It can be divided in two parts, 21262 and 5073, that added together give a triangular number (26335 = T229).

The spelling of 212625073 in words is "two hundred twelve million, six hundred twenty-five thousand, seventy-three".