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228287304 = 233272915619
BaseRepresentation
bin11011001101101…
…10001101001000
3120220120012022100
431212312031020
5431420143204
634352553400
75441260440
oct1546661510
9526505270
10228287304
111079536a3
1264552860
13383ac85b
1422467120
1515095a39
hexd9b6348

228287304 has 96 divisors (see below), whose sum is σ = 731016000. Its totient is φ = 62971776.

The previous prime is 228287287. The next prime is 228287309. The reversal of 228287304 is 403782822.

228287304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (228287309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6807 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (7614750).

Almost surely, 2228287304 is an apocalyptic number.

228287304 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 228287304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365508000).

228287304 is an abundant number, since it is smaller than the sum of its proper divisors (502728696).

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

228287304 is a wasteful number, since it uses less digits than its factorization.

228287304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 228287304 is about 15109.1794615062. The cubic root of 228287304 is about 611.1679709763.

The spelling of 228287304 in words is "two hundred twenty-eight million, two hundred eighty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7308 14616 15619 31238 46857 62476 93714 109333 124952 140571 187428 218666 281142 327999 374856 437332 452951 562284 655998 874664 905902 983997 1124568 1311996 1358853 1811804 1967994 2623992 2717706 3170657 3623608 3935988 4076559 5435412 6341314 7871976 8153118 9511971 10870824 12682628 16306236 19023942 25365256 28535913 32612472 38047884 57071826 76095768 114143652 228287304