Search a number
-
+
228822825 = 35271139623
BaseRepresentation
bin11011010001110…
…00111100101001
3120221120101220110
431220320330221
5432034312300
634412244533
75445650640
oct1550707451
9527511813
10228822825
11108189a80
1264770749
133853952a
1422566357
151514e550
hexda38f29

228822825 has 48 divisors (see below), whose sum is σ = 471684096. Its totient is φ = 95092800.

The previous prime is 228822787. The next prime is 228822851. The reversal of 228822825 is 528228822.

It is not a de Polignac number, because 228822825 - 26 = 228822761 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14037 + ... + 25586.

It is an arithmetic number, because the mean of its divisors is an integer number (9826752).

Almost surely, 2228822825 is an apocalyptic number.

228822825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228822825 is an abundant number, since it is smaller than the sum of its proper divisors (242861271).

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

228822825 is a wasteful number, since it uses less digits than its factorization.

228822825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39654 (or 39649 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 228822825 is about 15126.8907909061. The cubic root of 228822825 is about 611.6454945274.

The spelling of 228822825 in words is "two hundred twenty-eight million, eight hundred twenty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 39623 118869 198115 277361 435853 594345 832083 990575 1307559 1386805 2179265 2971725 3050971 4160415 6537795 6934025 9152913 10896325 15254855 20802075 32688975 45764565 76274275 228822825