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223898928 = 2431123103179
BaseRepresentation
bin11010101100001…
…10110100110000
3120121022020120220
431112012310300
5424304231203
634114533040
75356052361
oct1526066460
9517266526
10223898928
11105426640
1262b97180
1337504296
1421a43b68
15149ca653
hexd586d30

223898928 has 160 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 63909120.

The previous prime is 223898861. The next prime is 223898933. The reversal of 223898928 is 829898322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250743 + ... + 1250921.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2223898928 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 223898928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

223898928 is an abundant number, since it is smaller than the sum of its proper divisors (444629712).

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

223898928 is a wasteful number, since it uses less digits than its factorization.

223898928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 223898928 is about 14963.2525875894. The cubic root of 223898928 is about 607.2264371449.

The spelling of 223898928 in words is "two hundred twenty-three million, eight hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 103 132 138 176 179 184 206 253 264 276 309 358 368 412 506 528 537 552 618 716 759 824 1012 1074 1104 1133 1236 1432 1518 1648 1969 2024 2148 2266 2369 2472 2864 3036 3399 3938 4048 4117 4296 4532 4738 4944 5907 6072 6798 7107 7876 8234 8592 9064 9476 11814 12144 12351 13596 14214 15752 16468 18128 18437 18952 23628 24702 26059 27192 28428 31504 32936 36874 37904 45287 47256 49404 52118 54384 55311 56856 65872 73748 78177 90574 94512 98808 104236 110622 113712 135861 147496 156354 181148 197616 202807 208472 221244 271722 294992 312708 362296 405614 416944 424051 442488 543444 608421 625416 724592 811228 848102 884976 1086888 1216842 1250832 1272153 1622456 1696204 2173776 2433684 2544306 3244912 3392408 4664561 4867368 5088612 6784816 9329122 9734736 10177224 13993683 18658244 20354448 27987366 37316488 55974732 74632976 111949464 223898928