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226424220 = 223511349983
BaseRepresentation
bin11010111111011…
…11010110011100
3120210001112122020
431133233112130
5430431033340
634245020140
75416400631
oct1537572634
9523045566
10226424220
111068a0960
12639b4650
1337ba9839
1422100188
1514d289d0
hexd7ef59c

226424220 has 96 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 54677760.

The previous prime is 226424203. The next prime is 226424221. The reversal of 226424220 is 22424622.

226424220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226424221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229849 + ... + 230831.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2226424220 is an apocalyptic number.

226424220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347155200).

226424220 is an abundant number, since it is smaller than the sum of its proper divisors (467886180).

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

226424220 is a wasteful number, since it uses less digits than its factorization.

226424220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 226424220 is about 15047.3991108098. The cubic root of 226424220 is about 609.5008188854.

Adding to 226424220 its reverse (22424622), we get a palindrome (248848842).

It can be divided in two parts, 22642 and 4220, that added together give a palindrome (26862).

The spelling of 226424220 in words is "two hundred twenty-six million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 660 698 983 1047 1396 1745 1966 2094 2949 3490 3839 3932 4188 4915 5235 5898 6980 7678 9830 10470 10813 11517 11796 14745 15356 19195 19660 20940 21626 23034 29490 32439 38390 43252 46068 54065 57585 58980 64878 76780 108130 115170 129756 162195 216260 230340 324390 343067 648780 686134 1029201 1372268 1715335 2058402 3430670 3773737 4116804 5146005 6861340 7547474 10292010 11321211 15094948 18868685 20584020 22642422 37737370 45284844 56606055 75474740 113212110 226424220