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212397471 = 34112131667
BaseRepresentation
bin11001010100011…
…10110110011111
3112210122220120000
430222032312133
5413333204341
633024225343
75156230416
oct1452166637
9483586500
10212397471
11a9990400
125b16b253
13350081a0
14202cc47d
15139a78b6
hexca8ed9f

212397471 has 60 divisors (see below), whose sum is σ = 375803736. Its totient is φ = 118752480.

The previous prime is 212397457. The next prime is 212397481. The reversal of 212397471 is 174793212.

It is not a de Polignac number, because 212397471 - 26 = 212397407 is a prime.

It is a super-3 number, since 3×2123974713 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212397401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126580 + ... + 128246.

Almost surely, 2212397471 is an apocalyptic number.

212397471 is a deficient number, since it is larger than the sum of its proper divisors (163406265).

212397471 is a wasteful number, since it uses less digits than its factorization.

212397471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1694 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 212397471 is about 14573.8625971291. The cubic root of 212397471 is about 596.6456066902.

The spelling of 212397471 in words is "two hundred twelve million, three hundred ninety-seven thousand, four hundred seventy-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 297 351 363 429 891 1053 1089 1287 1573 1667 3267 3861 4719 5001 9801 11583 14157 15003 18337 21671 42471 45009 55011 65013 127413 135027 165033 195039 201707 238381 495099 585117 605121 715143 1485297 1755351 1815363 2145429 2622191 5446089 6436287 7866573 16338267 19308861 23599719 70799157 212397471