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2191328 = 2531472
BaseRepresentation
bin1000010110111111100000
311010022221022
420112333200
51030110303
6114545012
724424466
oct10267740
94108838
102191328
111267417
12898168
135b9559
14410836
152d4438
hex216fe0

2191328 has 36 divisors (see below), whose sum is σ = 4550112. Its totient is φ = 1037760.

The previous prime is 2191291. The next prime is 2191331. The reversal of 2191328 is 8231912.

2191328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2191297 and 2191306.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 46601 + ... + 46647.

It is an arithmetic number, because the mean of its divisors is an integer number (126392).

22191328 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 2191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275056).

2191328 is an abundant number, since it is smaller than the sum of its proper divisors (2358784).

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

2191328 is an equidigital number, since it uses as much as digits as its factorization.

2191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 80 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 2191328 is about 1480.3134803142. The cubic root of 2191328 is about 129.8880298195. Note that the first 3 decimals are identical.

The spelling of 2191328 in words is "two million, one hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 496 752 992 1457 1504 2209 2914 4418 5828 8836 11656 17672 23312 35344 46624 68479 70688 136958 273916 547832 1095664 2191328