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212082633 = 32721728289
BaseRepresentation
bin11001010010000…
…01111111001001
3112210001220200100
430221001333021
5413243121013
633013400013
75153446500
oct1451017711
9483056610
10212082633
11a9795904
125b039009
1334c27aa9
1420249837
1513944473
hexca41fc9

212082633 has 36 divisors (see below), whose sum is σ = 377332020. Its totient is φ = 114057216.

The previous prime is 212082569. The next prime is 212082649. The reversal of 212082633 is 336280212.

212082633 is a `hidden beast` number, since 2 + 1 + 20 + 8 + 2 + 633 = 666.

212082633 is digitally balanced in base 2, 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 185177664 + 26904969 = 13608^2 + 5187^2 .

It is not a de Polignac number, because 212082633 - 26 = 212082569 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212082597 and 212082606.

It is not an unprimeable number, because it can be changed into a prime (212082433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6648 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (10481445).

Almost surely, 2212082633 is an apocalyptic number.

It is an amenable number.

212082633 is a deficient number, since it is larger than the sum of its proper divisors (165249387).

212082633 is a wasteful number, since it uses less digits than its factorization.

212082633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28326 (or 28316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212082633 is about 14563.0571309736. The cubic root of 212082633 is about 596.3506571622.

The spelling of 212082633 in words is "two hundred twelve million, eighty-two thousand, six hundred thirty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 28289 84867 198023 254601 480913 594069 1386161 1442739 1782207 3366391 4158483 4328217 10099173 12475449 23564737 30297519 70694211 212082633