Search a number
-
+
11225656 = 2313219223
BaseRepresentation
bin101010110100…
…101000111000
3210010022201001
4222310220320
510333210111
61040334344
7164262601
oct52645070
923108631
1011225656
116378002
1239143b4
132430700
1416c2da8
15ebb1c1
hexab4a38

11225656 has 72 divisors (see below), whose sum is σ = 25100280. Its totient is φ = 4694976.

The previous prime is 11225653. The next prime is 11225671. The reversal of 11225656 is 65652211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225653) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 488061 + ... + 488083.

It is an arithmetic number, because the mean of its divisors is an integer number (348615).

Almost surely, 211225656 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 11225656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550140).

11225656 is an abundant number, since it is smaller than the sum of its proper divisors (13874624).

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

11225656 is a wasteful number, since it uses less digits than its factorization.

11225656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 11225656 is about 3350.4710116639. The cubic root of 11225656 is about 223.9084979164.

Adding to 11225656 its reverse (65652211), we get a palindrome (76877867).

It can be divided in two parts, 11225 and 656, that added together give a square (11881 = 1092).

The spelling of 11225656 in words is "eleven million, two hundred twenty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 169 184 247 299 338 361 437 494 598 676 722 874 988 1196 1352 1444 1748 1976 2392 2888 3211 3496 3887 4693 5681 6422 7774 8303 9386 11362 12844 15548 16606 18772 22724 25688 31096 33212 37544 45448 61009 66424 73853 107939 122018 147706 215878 244036 295412 431756 488072 590824 863512 1403207 2806414 5612828 11225656