Search a number
-
+
2189216 = 2537432
BaseRepresentation
bin1000010110011110100000
311010020001002
420112132200
51030023331
6114531132
724415361
oct10263640
94106032
102189216
111265877
12896aa8
135b85c3
1440db68
152d39cb
hex2167a0

2189216 has 36 divisors (see below), whose sum is σ = 4531842. Its totient is φ = 1040256.

The previous prime is 2189207. The next prime is 2189219. The reversal of 2189216 is 6129812.

It can be written as a sum of positive squares in only one way, i.e., 1449616 + 739600 = 1204^2 + 860^2 .

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 (2189219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50891 + ... + 50933.

22189216 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 2189216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265921).

2189216 is an abundant number, since it is smaller than the sum of its proper divisors (2342626).

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

2189216 is an equidigital number, since it uses as much as digits as its factorization.

2189216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 82 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 2189216 is about 1479.5999459313. The cubic root of 2189216 is about 129.8462877500.

The spelling of 2189216 in words is "two million, one hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 37 43 74 86 148 172 296 344 592 688 1184 1376 1591 1849 3182 3698 6364 7396 12728 14792 25456 29584 50912 59168 68413 136826 273652 547304 1094608 2189216