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212871693 = 32337199419
BaseRepresentation
bin11001011000000…
…10101000001101
3112211120000001210
430230002220031
5413443343233
633042325033
75163244116
oct1454025015
9484500053
10212871693
11aa184721
125b359779
1335142ca8
14203b320d
1513a4d163
hexcb02a0d

212871693 has 32 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 131098176.

The previous prime is 212871679. The next prime is 212871697. The reversal of 212871693 is 396178212.

It is not a de Polignac number, because 212871693 - 28 = 212871437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212871697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507838 + ... + 508256.

It is an arithmetic number, because the mean of its divisors is an integer number (9576000).

Almost surely, 2212871693 is an apocalyptic number.

212871693 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212871693 is a deficient number, since it is larger than the sum of its proper divisors (93560307).

212871693 is a wasteful number, since it uses less digits than its factorization.

212871693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its digits is 36288, while the sum is 39.

The square root of 212871693 is about 14590.1231317628. The cubic root of 212871693 is about 597.0893222018.

The spelling of 212871693 in words is "two hundred twelve million, eight hundred seventy-one thousand, six hundred ninety-three".

Divisors: 1 3 23 37 69 111 199 419 597 851 1257 2553 4577 7363 9637 13731 15503 22089 28911 46509 83381 169349 250143 356569 508047 1069707 1917763 3085097 5753289 9255291 70957231 212871693