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211232928 = 25319911057
BaseRepresentation
bin11001001011100…
…10100010100000
3112201110202002210
430211302202200
5413033423203
632543242120
75143310304
oct1445624240
9481422083
10211232928
11a9265475
125a8a9340
13349bb0ca
14200a7d04
1513827803
hexc9728a0

211232928 has 48 divisors (see below), whose sum is σ = 557323200. Its totient is φ = 70050816.

The previous prime is 211232927. The next prime is 211232933. The reversal of 211232928 is 829232112.

211232928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 211232895 and 211232904.

It is not an unprimeable number, because it can be changed into a prime (211232927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13576 + ... + 24632.

It is an arithmetic number, because the mean of its divisors is an integer number (11610900).

Almost surely, 2211232928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211232928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278661600).

211232928 is an abundant number, since it is smaller than the sum of its proper divisors (346090272).

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

211232928 is a wasteful number, since it uses less digits than its factorization.

211232928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11261 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 211232928 is about 14533.8545472287. The cubic root of 211232928 is about 595.5531686826.

The spelling of 211232928 in words is "two hundred eleven million, two hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 11057 19104 22114 33171 44228 66342 88456 132684 176912 265368 353824 530736 1061472 2200343 4400686 6601029 8801372 13202058 17602744 26404116 35205488 52808232 70410976 105616464 211232928