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212816217 = 31723397457
BaseRepresentation
bin11001010111101…
…01000101011001
3112211110011222010
430223311011121
5413440104332
633041220133
75162623305
oct1453650531
9484404863
10212816217
11aa146a79
125b331649
1335123973
142039ad05
1513a3b9cc
hexcaf5159

212816217 has 32 divisors (see below), whose sum is σ = 314986752. Its totient is φ = 127125504.

The previous prime is 212816213. The next prime is 212816273. The reversal of 212816217 is 712618212.

It is not a de Polignac number, because 212816217 - 22 = 212816213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212816213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465453 + ... + 465909.

It is an arithmetic number, because the mean of its divisors is an integer number (9843336).

Almost surely, 2212816217 is an apocalyptic number.

It is an amenable number.

212816217 is a deficient number, since it is larger than the sum of its proper divisors (102170535).

212816217 is a wasteful number, since it uses less digits than its factorization.

212816217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its digits is 2688, while the sum is 30.

The square root of 212816217 is about 14588.2218587462. The cubic root of 212816217 is about 597.0374490059.

The spelling of 212816217 in words is "two hundred twelve million, eight hundred sixteen thousand, two hundred seventeen".

Divisors: 1 3 17 23 51 69 391 397 457 1173 1191 1371 6749 7769 9131 10511 20247 23307 27393 31533 155227 178687 181429 465681 536061 544287 3084293 4172867 9252879 12518601 70938739 212816217