Search a number
-
+
2228336 = 241121151
BaseRepresentation
bin1000100000000001110000
311012012200222
420200001300
51032301321
6115432212
724640415
oct10400160
94165628
102228336
111292200
128b5668
13600356
1442010c
152e03ab
hex220070

2228336 has 30 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 1012000.

The previous prime is 2228333. The next prime is 2228341. The reversal of 2228336 is 6338222.

It is a happy number.

It is a d-powerful number, because it can be written as 23 + 217 + 221 + 8 + 32 + 34 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1361 + ... + 2511.

22228336 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 2228336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

2228336 is an abundant number, since it is smaller than the sum of its proper divisors (2521360).

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

2228336 is a wasteful number, since it uses less digits than its factorization.

2228336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1164 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 2228336 is about 1492.7611999245. The cubic root of 2228336 is about 130.6151516121.

It can be divided in two parts, 222 and 8336, that added together give a palindrome (8558).

The spelling of 2228336 in words is "two million, two hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1151 1936 2302 4604 9208 12661 18416 25322 50644 101288 139271 202576 278542 557084 1114168 2228336