Search a number
-
+
22304656 = 2411241281
BaseRepresentation
bin101010100010…
…1011110010000
31112222012020101
41111011132100
521202222111
62114022144
7360405103
oct125053620
945865211
1022304656
1111654900
127577954
13480c42a
142d6873a
151e58bc1
hex1545790

22304656 has 60 divisors (see below), whose sum is σ = 48832812. Its totient is φ = 9856000.

The previous prime is 22304647. The next prime is 22304669. The reversal of 22304656 is 65640322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 15335056 = 2640^2 + 3916^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79236 + ... + 79516.

Almost surely, 222304656 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 22304656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416406).

22304656 is an abundant number, since it is smaller than the sum of its proper divisors (26528156).

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

22304656 is a wasteful number, since it uses less digits than its factorization.

22304656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 22304656 is about 4722.7805369295. The cubic root of 22304656 is about 281.4914295003.

Adding to 22304656 its reverse (65640322), we get a palindrome (87944978).

It can be divided in two parts, 2230 and 4656, that added together give a palindrome (6886).

The spelling of 22304656 in words is "twenty-two million, three hundred four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 242 281 328 451 484 562 656 902 968 1124 1804 1936 2248 3091 3608 4496 4961 6182 7216 9922 11521 12364 19844 23042 24728 34001 39688 46084 49456 68002 79376 92168 126731 136004 184336 253462 272008 506924 544016 1013848 1394041 2027696 2788082 5576164 11152328 22304656