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2189106 = 23413513
BaseRepresentation
bin1000010110011100110010
311010012220000
420112130302
51030022411
6114530430
724415143
oct10263462
94105800
102189106
111265787
12896a16
135b853a
1440daca
152d3956
hex216732

2189106 has 20 divisors (see below), whose sum is σ = 4905582. Its totient is φ = 729648.

The previous prime is 2189101. The next prime is 2189147. The reversal of 2189106 is 6019812.

It can be written as a sum of positive squares in only one way, i.e., 1846881 + 342225 = 1359^2 + 585^2 .

It is a super-3 number, since 3×21891063 = 31471803330198009048, which contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2189106.

It is not an unprimeable number, because it can be changed into a prime (2189101) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6595 + ... + 6918.

22189106 is an apocalyptic number.

2189106 is an abundant number, since it is smaller than the sum of its proper divisors (2716476).

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

2189106 is a wasteful number, since it uses less digits than its factorization.

2189106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2189106 is about 1479.5627732543. The cubic root of 2189106 is about 129.8441129485.

The spelling of 2189106 in words is "two million, one hundred eighty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 13513 27026 40539 81078 121617 243234 364851 729702 1094553 2189106