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212728614 = 23737367373
BaseRepresentation
bin11001010110111…
…11101100100110
3112211021201210120
430223133230212
5413424303424
633035302410
75162110020
oct1453375446
9484251716
10212728614
11aa09717a
125b2aaa06
13350c2b27
1420377010
1513a20a79
hexcadfb26

212728614 has 64 divisors (see below), whose sum is σ = 502081536. Its totient is φ = 58817664.

The previous prime is 212728609. The next prime is 212728619. The reversal of 212728614 is 416827212.

It is an interprime number because it is at equal distance from previous prime (212728609) and next prime (212728619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212728619) 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 31 ways as a sum of consecutive naturals, for example, 570132 + ... + 570504.

It is an arithmetic number, because the mean of its divisors is an integer number (7845024).

Almost surely, 2212728614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212728614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251040768).

212728614 is an abundant number, since it is smaller than the sum of its proper divisors (289352922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212728614 is a wasteful number, since it uses less digits than its factorization.

212728614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its digits is 10752, while the sum is 33.

The square root of 212728614 is about 14585.2190247524. The cubic root of 212728614 is about 596.9555168885.

The spelling of 212728614 in words is "two hundred twelve million, seven hundred twenty-eight thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 367 373 518 734 746 777 1101 1119 1554 2202 2238 2569 2611 5138 5222 7707 7833 13579 13801 15414 15666 27158 27602 40737 41403 81474 82806 95053 96607 136891 190106 193214 273782 285159 289821 410673 570318 579642 821346 958237 1916474 2874711 5064967 5749422 10129934 15194901 30389802 35454769 70909538 106364307 212728614