Search a number
-
+
2228608 = 2723757
BaseRepresentation
bin1000100000000110000000
311012020002001
420200012000
51032303413
6115433344
724641254
oct10400600
94166061
102228608
111292428
128b5854
13600505
14420264
152e04dd
hex220180

2228608 has 32 divisors (see below), whose sum is σ = 4638960. Its totient is φ = 1064448.

The previous prime is 2228591. The next prime is 2228657. The reversal of 2228608 is 8068222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 213 + 214 + 219 + 82 + 68 + 0 + 82 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2566 + ... + 3322.

22228608 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 2228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319480).

2228608 is an abundant number, since it is smaller than the sum of its proper divisors (2410352).

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

2228608 is an equidigital number, since it uses as much as digits as its factorization.

2228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2228608 is about 1492.8523034781. The cubic root of 2228608 is about 130.6204658729.

The spelling of 2228608 in words is "two million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 757 1472 1514 2944 3028 6056 12112 17411 24224 34822 48448 69644 96896 139288 278576 557152 1114304 2228608