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2189412 = 223261997
BaseRepresentation
bin1000010110100001100100
311010020022100
420112201210
51030030122
6114532100
724416061
oct10264144
94106270
102189412
111265a35
12897030
135b8714
1440dc68
152d3aac
hex216864

2189412 has 36 divisors (see below), whose sum is σ = 5630716. Its totient is φ = 717120.

The previous prime is 2189399. The next prime is 2189417. The reversal of 2189412 is 2149812.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 1313316 = 936^2 + 1146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2189417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698 + ... + 2694.

22189412 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 2189412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815358).

2189412 is an abundant number, since it is smaller than the sum of its proper divisors (3441304).

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

2189412 is a wasteful number, since it uses less digits than its factorization.

2189412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1063 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2189412 is about 1479.6661785687. Note that the first 3 decimals coincide. The cubic root of 2189412 is about 129.8501626703.

It can be divided in two parts, 2189 and 412, that added together give a square (2601 = 512).

The spelling of 2189412 in words is "two million, one hundred eighty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 997 1098 1994 2196 2991 3988 5982 8973 11964 17946 35892 60817 121634 182451 243268 364902 547353 729804 1094706 2189412