Search a number
-
+
226282820 = 22561318457
BaseRepresentation
bin11010111110011…
…00110101000100
3120202210100200012
431133030311010
5430412022240
634242005352
75415241451
oct1537146504
9522710605
10226282820
111068046a5
1263946858
1337b5a37a
14220a4828
1514cebb65
hexd7ccd44

226282820 has 24 divisors (see below), whose sum is σ = 475994904. Its totient is φ = 90360576.

The previous prime is 226282753. The next prime is 226282831. The reversal of 226282820 is 28282622.

It can be written as a sum of positive squares in 4 ways, for example, as 1522756 + 224760064 = 1234^2 + 14992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3032 + ... + 21488.

It is an arithmetic number, because the mean of its divisors is an integer number (19833121).

Almost surely, 2226282820 is an apocalyptic number.

226282820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226282820 is an abundant number, since it is smaller than the sum of its proper divisors (249712084).

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

226282820 is a wasteful number, since it uses less digits than its factorization.

226282820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 226282820 is about 15042.6998906446. The cubic root of 226282820 is about 609.3739164390.

The spelling of 226282820 in words is "two hundred twenty-six million, two hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 6130 12260 18457 36914 73828 92285 184570 369140 11314141 22628282 45256564 56570705 113141410 226282820