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2228256 = 25332579
BaseRepresentation
bin1000100000000000100000
311012012121000
420200000200
51032301011
6115432000
724640242
oct10400040
94165530
102228256
111292138
128b5600
136002c4
14420092
152e0356
hex220020

2228256 has 48 divisors (see below), whose sum is σ = 6501600. Its totient is φ = 742464.

The previous prime is 2228243. The next prime is 2228299. The reversal of 2228256 is 6528222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (135450).

22228256 is an apocalyptic number.

It is an amenable number.

2228256 is an abundant number, since it is smaller than the sum of its proper divisors (4273344).

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

2228256 is a wasteful number, since it uses less digits than its factorization.

2228256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2584 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2228256 is about 1492.7344037035. The cubic root of 2228256 is about 130.6135885119.

2228256 divided by its sum of digits (27) gives a palindrome (82528).

The spelling of 2228256 in words is "two million, two hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2579 5158 7737 10316 15474 20632 23211 30948 41264 46422 61896 69633 82528 92844 123792 139266 185688 247584 278532 371376 557064 742752 1114128 2228256