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2188971 = 331719251
BaseRepresentation
bin1000010110011010101011
311010012201000
420112122223
51030021341
6114530043
724414561
oct10263253
94105630
102188971
111265674
12896923
135b8465
1440da31
152d38b6
hex2166ab

2188971 has 32 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 1296000.

The previous prime is 2188919. The next prime is 2188981. The reversal of 2188971 is 1798812.

2188971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2188971 - 214 = 2172587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188981) 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 31 ways as a sum of consecutive naturals, for example, 8596 + ... + 8846.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22188971 is an apocalyptic number.

2188971 is a deficient number, since it is larger than the sum of its proper divisors (1439829).

2188971 is a wasteful number, since it uses less digits than its factorization.

2188971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 2188971 is about 1479.5171509651. The cubic root of 2188971 is about 129.8414437743.

The spelling of 2188971 in words is "two million, one hundred eighty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 9 17 19 27 51 57 153 171 251 323 459 513 753 969 2259 2907 4267 4769 6777 8721 12801 14307 38403 42921 81073 115209 128763 243219 729657 2188971