Search a number
-
+
22550656 = 27414297
BaseRepresentation
bin101011000000…
…1100010000000
31120102200200111
41112001202000
521233110111
62123201104
7362451232
oct126014200
946380614
1022550656
1111802707
127676194
1348973ab
142dd0252
151ea6a21
hex1581880

22550656 has 32 divisors (see below), whose sum is σ = 46031580. Its totient is φ = 10997760.

The previous prime is 22550651. The next prime is 22550669. The reversal of 22550656 is 65605522.

It can be written as a sum of positive squares in 2 ways, for example, as 21013056 + 1537600 = 4584^2 + 1240^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22550651) 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 3 ways as a sum of consecutive naturals, for example, 3100 + ... + 7396.

Almost surely, 222550656 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 22550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015790).

22550656 is an abundant number, since it is smaller than the sum of its proper divisors (23480924).

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

22550656 is an equidigital number, since it uses as much as digits as its factorization.

22550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 22550656 is about 4748.7530994989. The cubic root of 22550656 is about 282.5225126289.

The spelling of 22550656 in words is "twenty-two million, five hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 4297 5248 8594 17188 34376 68752 137504 176177 275008 352354 550016 704708 1409416 2818832 5637664 11275328 22550656