Search a number
-
+
228144708 = 2233111811061
BaseRepresentation
bin11011001100100…
…11011001000100
3120220021221201000
431212103121010
5431401112313
634345533300
75440124631
oct1546233104
9526257630
10228144708
11107866550
12644a4230
133835c98c
142242b188
1515068673
hexd993644

228144708 has 96 divisors (see below), whose sum is σ = 649434240. Its totient is φ = 68688000.

The previous prime is 228144703. The next prime is 228144727. The reversal of 228144708 is 807441822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228144703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214498 + ... + 215558.

It is an arithmetic number, because the mean of its divisors is an integer number (6764940).

Almost surely, 2228144708 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 228144708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324717120).

228144708 is an abundant number, since it is smaller than the sum of its proper divisors (421289532).

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

228144708 is a wasteful number, since it uses less digits than its factorization.

228144708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 228144708 is about 15104.4598711771. The cubic root of 228144708 is about 611.0406923842.

The spelling of 228144708 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1061 1086 1188 1629 1991 2122 2172 3183 3258 3982 4244 4887 5973 6366 6516 7964 9549 9774 11671 11946 12732 17919 19098 19548 23342 23892 28647 35013 35838 38196 46684 53757 57294 70026 71676 105039 107514 114588 140052 192041 210078 215028 315117 384082 420156 576123 630234 768164 1152246 1260468 1728369 2112451 2304492 3456738 4224902 5185107 6337353 6913476 8449804 10370214 12674706 19012059 20740428 25349412 38024118 57036177 76048236 114072354 228144708