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211664348 = 22717716263
BaseRepresentation
bin11001001110110…
…11110111011100
3112202021122220022
430213123313130
5413141224343
633000411312
75150055140
oct1447336734
9482248808
10211664348
11a952a615
125aa76b38
1334b0c59c
142017b220
15138b0568
hexc9dbddc

211664348 has 48 divisors (see below), whose sum is σ = 454616064. Its totient is φ = 84161280.

The previous prime is 211664347. The next prime is 211664357. The reversal of 211664348 is 843466112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211664347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30665 + ... + 36927.

It is an arithmetic number, because the mean of its divisors is an integer number (9471168).

Almost surely, 2211664348 is an apocalyptic number.

211664348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211664348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227308032).

211664348 is an abundant number, since it is smaller than the sum of its proper divisors (242951716).

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

211664348 is a wasteful number, since it uses less digits than its factorization.

211664348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6360 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 211664348 is about 14548.6888756341. The cubic root of 211664348 is about 595.9583435594.

The spelling of 211664348 in words is "two hundred eleven million, six hundred sixty-four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 71 119 142 238 284 476 497 994 1207 1988 2414 4828 6263 8449 12526 16898 25052 33796 43841 87682 106471 175364 212942 425884 444673 745297 889346 1490594 1778692 2981188 3112711 6225422 7559441 12450844 15118882 30237764 52916087 105832174 211664348