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212884273 = 7229374049
BaseRepresentation
bin11001011000001…
…01101100110001
3112211120122022201
430230011230301
5413444244043
633042503201
75163325600
oct1454055461
9484518281
10212884273
11aa193118
125b364b01
1335148934
14203b7a37
1513a51c4d
hexcb05b31

212884273 has 24 divisors (see below), whose sum is σ = 263169000. Its totient is φ = 171376128.

The previous prime is 212884267. The next prime is 212884289. The reversal of 212884273 is 372488212.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 164275489 = 6972^2 + 12817^2 .

It is not a de Polignac number, because 212884273 - 25 = 212884241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212884253) 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 23 ways as a sum of consecutive naturals, for example, 50553 + ... + 54601.

It is an arithmetic number, because the mean of its divisors is an integer number (10965375).

Almost surely, 2212884273 is an apocalyptic number.

It is an amenable number.

212884273 is a deficient number, since it is larger than the sum of its proper divisors (50284727).

212884273 is a wasteful number, since it uses less digits than its factorization.

212884273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4122 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 212884273 is about 14590.5542389588. The cubic root of 212884273 is about 597.1010839593.

The spelling of 212884273 in words is "two hundred twelve million, eight hundred eighty-four thousand, two hundred seventy-three".

Divisors: 1 7 29 37 49 203 259 1073 1421 1813 4049 7511 28343 52577 117421 149813 198401 821947 1048691 4344577 5753629 7340837 30412039 212884273