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212616733 = 7234912433
BaseRepresentation
bin11001010110001…
…00011000011101
3112211002001022211
430223010120131
5413412213413
633033040421
75161132600
oct1453043035
9484061284
10212616733
11aa02010a
125b256111
1335083c24
1420348337
15139ec83d
hexcac461d

212616733 has 12 divisors (see below), whose sum is σ = 248058300. Its totient is φ = 181706112.

The previous prime is 212616731. The next prime is 212616743. The reversal of 212616733 is 337616212.

It can be written as a sum of positive squares in 2 ways, for example, as 88115769 + 124500964 = 9387^2 + 11158^2 .

It is not a de Polignac number, because 212616733 - 21 = 212616731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212616695 and 212616704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212616731) 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 11 ways as a sum of consecutive naturals, for example, 10885 + ... + 23317.

It is an arithmetic number, because the mean of its divisors is an integer number (20671525).

Almost surely, 2212616733 is an apocalyptic number.

It is an amenable number.

212616733 is a deficient number, since it is larger than the sum of its proper divisors (35441567).

212616733 is a wasteful number, since it uses less digits than its factorization.

212616733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796 (or 12789 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 212616733 is about 14581.3830962635. The cubic root of 212616733 is about 596.8508456660.

The spelling of 212616733 in words is "two hundred twelve million, six hundred sixteen thousand, seven hundred thirty-three".

Divisors: 1 7 49 349 2443 12433 17101 87031 609217 4339117 30373819 212616733