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211332660 = 2235711149307
BaseRepresentation
bin11001001100010…
…10111000110100
3112201122210220120
430212022320310
5413100121120
632545331540
75144204130
oct1446127064
9481583816
10211332660
11a93233a0
125a936bb0
1334a24616
14200d23c0
1513847140
hexc98ae34

211332660 has 192 divisors, whose sum is σ = 745113600. Its totient is φ = 43476480.

The previous prime is 211332647. The next prime is 211332683. The reversal of 211332660 is 66233112.

It is a happy number.

It is a super-2 number, since 2×2113326602 = 89322986365351200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211332660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688227 + ... + 688533.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2211332660 is an apocalyptic number.

211332660 is a gapful number since it is divisible by the number (20) 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 211332660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

211332660 is an abundant number, since it is smaller than the sum of its proper divisors (533780940).

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

211332660 is a wasteful number, since it uses less digits than its factorization.

211332660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 211332660 is about 14537.2851660824. The cubic root of 211332660 is about 595.6468825493.

Adding to 211332660 its reverse (66233112), we get a palindrome (277565772).

The spelling of 211332660 in words is "two hundred eleven million, three hundred thirty-two thousand, six hundred sixty".