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2189916 = 2236751
BaseRepresentation
bin1000010110101001011100
311010021000000
420112221130
51030034131
6114534300
724420411
oct10265134
94107000
102189916
111266353
12897390
135b8a11
14410108
152d3ce6
hex216a5c

2189916 has 42 divisors (see below), whose sum is σ = 5753552. Its totient is φ = 729000.

The previous prime is 2189881. The next prime is 2189939. The reversal of 2189916 is 6199812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 221 + 1 + 85 + 93 + 95 + 1 + 63 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2541 + ... + 3291.

22189916 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 2189916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876776).

2189916 is an abundant number, since it is smaller than the sum of its proper divisors (3563636).

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

2189916 is an equidigital number, since it uses as much as digits as its factorization.

2189916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2189916 is about 1479.8364774528. The cubic root of 2189916 is about 129.8601256895.

The spelling of 2189916 in words is "two million, one hundred eighty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 751 972 1458 1502 2253 2916 3004 4506 6759 9012 13518 20277 27036 40554 60831 81108 121662 182493 243324 364986 547479 729972 1094958 2189916