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228128256 = 2932311597
BaseRepresentation
bin11011001100011…
…11011000000000
3120220021010010200
431212033120000
5431400101011
634345325200
75440025646
oct1546173000
9526233120
10228128256
11107855154
1264496800
1338355345
1422425196
1515063856
hexd98f600

228128256 has 120 divisors (see below), whose sum is σ = 680057664. Its totient is φ = 73543680.

The previous prime is 228128207. The next prime is 228128267. The reversal of 228128256 is 652821822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228128256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142050 + ... + 143646.

Almost surely, 2228128256 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 228128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340028832).

228128256 is an abundant number, since it is smaller than the sum of its proper divisors (451929408).

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

228128256 is a wasteful number, since it uses less digits than its factorization.

228128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1633 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 228128256 is about 15103.9152539995. The cubic root of 228128256 is about 611.0260042166.

The spelling of 228128256 in words is "two hundred twenty-eight million, one hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1597 1984 2232 2304 2976 3194 3968 4464 4608 4791 5952 6388 7936 8928 9582 11904 12776 14373 15872 17856 19164 23808 25552 28746 35712 38328 47616 49507 51104 57492 71424 76656 99014 102208 114984 142848 148521 153312 198028 204416 229968 297042 306624 396056 408832 445563 459936 594084 613248 792112 817664 891126 919872 1188168 1226496 1584224 1782252 1839744 2376336 2452992 3168448 3564504 3679488 4752672 6336896 7129008 7358976 9505344 12673792 14258016 19010688 25347584 28516032 38021376 57032064 76042752 114064128 228128256