Search a number
-
+
228145016 = 231122111117
BaseRepresentation
bin11011001100100…
…11011101111000
3120220021222010102
431212103131320
5431401120031
634345534532
75440125551
oct1546233570
9526258112
10228145016
11107866800
12644a4448
133835cb68
142242b328
15150687cb
hexd993778

228145016 has 48 divisors (see below), whose sum is σ = 472846920. Its totient is φ = 103118400.

The previous prime is 228145013. The next prime is 228145031. The reversal of 228145016 is 610541822.

It is a self number, because there is not a number n which added to its sum of digits gives 228145016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228145013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203690 + ... + 204806.

Almost surely, 2228145016 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 228145016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236423460).

228145016 is an abundant number, since it is smaller than the sum of its proper divisors (244701904).

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

228145016 is a wasteful number, since it uses less digits than its factorization.

228145016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 228145016 is about 15104.4700668378. The cubic root of 228145016 is about 611.0409673566.

Adding to 228145016 its reverse (610541822), we get a palindrome (838686838).

The spelling of 228145016 in words is "two hundred twenty-eight million, one hundred forty-five thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 88 121 211 242 422 484 844 968 1117 1688 2234 2321 4468 4642 8936 9284 12287 18568 24574 25531 49148 51062 98296 102124 135157 204248 235687 270314 471374 540628 942748 1081256 1885496 2592557 5185114 10370228 20740456 28518127 57036254 114072508 228145016