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211828968 = 233213226313
BaseRepresentation
bin11001010000001…
…00000011101000
3112202121000201100
430220010003220
5413212011333
633004121400
75151342111
oct1450040350
9482530640
10211828968
11a963226a
125ab36260
1334b694b0
14201c1208
15138e4213
hexca040e8

211828968 has 48 divisors (see below), whose sum is σ = 617837220. Its totient is φ = 65177856.

The previous prime is 211828961. The next prime is 211828973. The reversal of 211828968 is 869828112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 202720644 + 9108324 = 14238^2 + 3018^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211828961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112221 + ... + 114092.

Almost surely, 2211828968 is an apocalyptic number.

It is an amenable number.

211828968 is an abundant number, since it is smaller than the sum of its proper divisors (406008252).

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

211828968 is a wasteful number, since it uses less digits than its factorization.

211828968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226338 (or 226331 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 211828968 is about 14554.3453305190. The cubic root of 211828968 is about 596.1128038966.

The spelling of 211828968 in words is "two hundred eleven million, eight hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 226313 452626 678939 905252 1357878 1810504 2036817 2715756 2942069 4073634 5431512 5884138 8147268 8826207 11768276 16294536 17652414 23536552 26478621 35304828 52957242 70609656 105914484 211828968