Search a number
-
+
228114608 = 24193312267
BaseRepresentation
bin11011001100011…
…00000010110000
3120220020102102012
431212030002300
5431344131413
634345142052
75436641111
oct1546140260
9526212365
10228114608
11107845977
126448a928
133834c077
1422420208
151505e7a8
hexd98c0b0

228114608 has 40 divisors (see below), whose sum is σ = 466845120. Its totient is φ = 107680320.

The previous prime is 228114599. The next prime is 228114617. The reversal of 228114608 is 806411822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228114599) and next prime (228114617).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99491 + ... + 101757.

It is an arithmetic number, because the mean of its divisors is an integer number (11671128).

Almost surely, 2228114608 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 228114608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233422560).

228114608 is an abundant number, since it is smaller than the sum of its proper divisors (238730512).

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

228114608 is a wasteful number, since it uses less digits than its factorization.

228114608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 228114608 is about 15103.4634438595. The cubic root of 228114608 is about 611.0138188940.

The spelling of 228114608 in words is "two hundred twenty-eight million, one hundred fourteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 331 662 1324 2267 2648 4534 5296 6289 9068 12578 18136 25156 36272 43073 50312 86146 100624 172292 344584 689168 750377 1500754 3001508 6003016 12006032 14257163 28514326 57028652 114057304 228114608