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228476808 = 23337221587
BaseRepresentation
bin11011001111001…
…00011110001000
3120220220211021000
431213210132020
5431442224213
634401015000
75443010100
oct1547443610
9526824230
10228476808
11107a7300a
1264624460
1338447ba1
14224b6200
15150d1c73
hexd9e4788

228476808 has 96 divisors (see below), whose sum is σ = 738309600. Its totient is φ = 65276064.

The previous prime is 228476803. The next prime is 228476837. The reversal of 228476808 is 808674822.

It is a happy number.

228476808 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 (228476803) 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, 210 + ... + 21377.

It is an arithmetic number, because the mean of its divisors is an integer number (7690725).

Almost surely, 2228476808 is an apocalyptic number.

228476808 is a gapful number since it is divisible by the number (28) 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 228476808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369154800).

228476808 is an abundant number, since it is smaller than the sum of its proper divisors (509832792).

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

228476808 is a wasteful number, since it uses less digits than its factorization.

228476808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21616 (or 21599 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 228476808 is about 15115.4493151874. The cubic root of 228476808 is about 611.3370367988.

The spelling of 228476808 in words is "two hundred twenty-eight million, four hundred seventy-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 21587 43174 64761 86348 129522 151109 172696 194283 259044 302218 388566 453327 518088 582849 604436 777132 906654 1057763 1165698 1208872 1359981 1554264 1813308 2115526 2331396 2719962 3173289 3626616 4079943 4231052 4662792 5439924 6346578 8159886 8462104 9519867 10879848 12693156 16319772 19039734 25386312 28559601 32639544 38079468 57119202 76158936 114238404 228476808