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2228814 = 23273192
BaseRepresentation
bin1000100000001001001110
311012020100200
420200021032
51032310224
6115434330
724642000
oct10401116
94166320
102228814
1112925a5
128b59a6
13600633
14420370
152e05c9
hex22024e

2228814 has 72 divisors (see below), whose sum is σ = 5943600. Its totient is φ = 603288.

The previous prime is 2228813. The next prime is 2228867. The reversal of 2228814 is 4188222.

It is a super-2 number, since 2×22288142 = 9935223693192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117297 + ... + 117315.

It is an arithmetic number, because the mean of its divisors is an integer number (82550).

22228814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971800).

2228814 is an abundant number, since it is smaller than the sum of its proper divisors (3714786).

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

2228814 is a wasteful number, since it uses less digits than its factorization.

2228814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2228814 is about 1492.9212973228. The cubic root of 2228814 is about 130.6244903561.

The spelling of 2228814 in words is "two million, two hundred twenty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 343 361 399 441 686 722 798 882 931 1029 1083 1197 1862 2058 2166 2394 2527 2793 3087 3249 5054 5586 6174 6498 6517 7581 8379 13034 15162 16758 17689 19551 22743 35378 39102 45486 53067 58653 106134 117306 123823 159201 247646 318402 371469 742938 1114407 2228814