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228128304 = 243172631063
BaseRepresentation
bin11011001100011…
…11011000110000
3120220021010012110
431212033120300
5431400101204
634345325320
75440026045
oct1546173060
9526233173
10228128304
11107855198
1264496840
1338355381
14224251cc
1515063889
hexd98f630

228128304 has 80 divisors (see below), whose sum is σ = 626959872. Its totient is φ = 71230464.

The previous prime is 228128293. The next prime is 228128309. The reversal of 228128304 is 403821822.

228128304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228128309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214077 + ... + 215139.

Almost surely, 2228128304 is an apocalyptic number.

228128304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228128304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

228128304 is an abundant number, since it is smaller than the sum of its proper divisors (398831568).

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

228128304 is a wasteful number, since it uses less digits than its factorization.

228128304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 228128304 is about 15103.9168429914. The cubic root of 228128304 is about 611.0260470715.

The spelling of 228128304 in words is "two hundred twenty-eight million, one hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 263 272 408 526 789 816 1052 1063 1578 2104 2126 3156 3189 4208 4252 4471 6312 6378 8504 8942 12624 12756 13413 17008 17884 18071 25512 26826 35768 36142 51024 53652 54213 71536 72284 107304 108426 144568 214608 216852 279569 289136 433704 559138 838707 867408 1118276 1677414 2236552 3354828 4473104 4752673 6709656 9505346 13419312 14258019 19010692 28516038 38021384 57032076 76042768 114064152 228128304