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211330032 = 24312734667
BaseRepresentation
bin11001001100010…
…10001111110000
3112201122200022020
430212022033300
5413100030112
632545311440
75144163354
oct1446121760
9481580266
10211330032
11a9321421
125a935580
1334a23374
14200d1464
151384648c
hexc98a3f0

211330032 has 40 divisors (see below), whose sum is σ = 550250496. Its totient is φ = 69886656.

The previous prime is 211330019. The next prime is 211330033. The reversal of 211330032 is 230033112.

It is a junction number, because it is equal to n+sod(n) for n = 211329993 and 211330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211330033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11238 + ... + 23429.

Almost surely, 2211330032 is an apocalyptic number.

It is an amenable number.

211330032 is an abundant number, since it is smaller than the sum of its proper divisors (338920464).

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

211330032 is a wasteful number, since it uses less digits than its factorization.

211330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34805 (or 34799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 211330032 is about 14537.1947775353. The cubic root of 211330032 is about 595.6444135091.

Adding to 211330032 its reverse (230033112), we get a palindrome (441363144).

The spelling of 211330032 in words is "two hundred eleven million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1016 1524 2032 3048 6096 34667 69334 104001 138668 208002 277336 416004 554672 832008 1664016 4402709 8805418 13208127 17610836 26416254 35221672 52832508 70443344 105665016 211330032