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211387806 = 2347199811
BaseRepresentation
bin11001001100110…
…00010110011110
3112201202121120000
430212120112132
5413103402211
632550435130
75144523660
oct1446302636
9481677500
10211387806
11a9360873
125a962aa6
1334a43756
1420108530
1513858656
hexc99859e

211387806 has 80 divisors (see below), whose sum is σ = 569880960. Its totient is φ = 57211920.

The previous prime is 211387793. The next prime is 211387807. The reversal of 211387806 is 608783112.

211387806 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211387807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16641 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (7123512).

Almost surely, 2211387806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211387806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284940480).

211387806 is an abundant number, since it is smaller than the sum of its proper divisors (358493154).

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

211387806 is a wasteful number, since it uses less digits than its factorization.

211387806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9851 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 211387806 is about 14539.1817513917. The cubic root of 211387806 is about 595.6986882132.

The spelling of 211387806 in words is "two hundred eleven million, three hundred eighty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 9811 10773 19622 21546 29433 58866 68677 88299 137354 176598 186409 206031 264897 372818 412062 529794 559227 618093 794691 1118454 1236186 1304863 1589382 1677681 1854279 2609726 3355362 3708558 3914589 5033043 5562837 7829178 10066086 11125674 11743767 15099129 23487534 30198258 35231301 70462602 105693903 211387806