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2272256 = 2107317
BaseRepresentation
bin1000101010110000000000
311021102221122
420222300000
51040203011
6120411412
725212440
oct10526000
94242848
102272256
1113121a8
12916b68
1361733c
14432120
152ed3db
hex22ac00

2272256 has 44 divisors (see below), whose sum is σ = 5207568. Its totient is φ = 970752.

The previous prime is 2272253. The next prime is 2272273. The reversal of 2272256 is 6522722.

It is a d-powerful number, because it can be written as 23 + 24 + 77 + 213 + 220 + 58 + 64 .

It is not an unprimeable number, because it can be changed into a prime (2272253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7010 + ... + 7326.

22272256 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 2272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603784).

2272256 is an abundant number, since it is smaller than the sum of its proper divisors (2935312).

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

2272256 is an equidigital number, since it uses as much as digits as its factorization.

2272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 2272256 is about 1507.4004113042. The cubic root of 2272256 is about 131.4677064122.

Adding to 2272256 its reverse (6522722), we get a palindrome (8794978).

The spelling of 2272256 in words is "two million, two hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 317 448 512 634 896 1024 1268 1792 2219 2536 3584 4438 5072 7168 8876 10144 17752 20288 35504 40576 71008 81152 142016 162304 284032 324608 568064 1136128 2272256