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212855461 = 72131943409
BaseRepresentation
bin11001010111111…
…10101010100101
3112211112011210121
430223332222211
5413442333321
633042121541
75163145600
oct1453765245
9484464717
10212855461
11aa173505
125b3502b1
13351387a0
14203ab337
1513a48441
hexcafeaa5

212855461 has 48 divisors (see below), whose sum is σ = 287918400. Its totient is φ = 155457792.

The previous prime is 212855459. The next prime is 212855471. The reversal of 212855461 is 164558212.

It is a happy number.

It is not a de Polignac number, because 212855461 - 21 = 212855459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212855411) 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 47 ways as a sum of consecutive naturals, for example, 520225 + ... + 520633.

It is an arithmetic number, because the mean of its divisors is an integer number (5998300).

Almost surely, 2212855461 is an apocalyptic number.

It is an amenable number.

212855461 is a deficient number, since it is larger than the sum of its proper divisors (75062939).

212855461 is a wasteful number, since it uses less digits than its factorization.

212855461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 212855461 is about 14589.5668544340. The cubic root of 212855461 is about 597.0741452970.

The spelling of 212855461 in words is "two hundred twelve million, eight hundred fifty-five thousand, four hundred sixty-one".

Divisors: 1 7 13 19 43 49 91 133 247 301 409 559 637 817 931 1729 2107 2863 3913 5317 5719 7771 10621 12103 17587 20041 27391 37219 40033 54397 74347 101023 123109 228631 260533 334153 380779 520429 707161 861763 1600417 2339071 4343989 4950127 11202919 16373497 30407923 212855461