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223918656 = 26313283317
BaseRepresentation
bin11010101100010…
…11101001000000
3120121100020122120
431112023221000
5424310344111
634115204240
75356164033
oct1526135100
9517306576
10223918656
1110543a445
1262ba6680
1337510260
1421a4b01a
15149d1406
hexd58ba40

223918656 has 112 divisors (see below), whose sum is σ = 642298944. Its totient is φ = 68438016.

The previous prime is 223918633. The next prime is 223918687. The reversal of 223918656 is 656819322.

223918656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706210 + ... + 706526.

It is an arithmetic number, because the mean of its divisors is an integer number (5734812).

Almost surely, 2223918656 is an apocalyptic number.

223918656 is a gapful number since it is divisible by the number (26) 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 223918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321149472).

223918656 is an abundant number, since it is smaller than the sum of its proper divisors (418380288).

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

223918656 is a wasteful number, since it uses less digits than its factorization.

223918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 223918656 is about 14963.9117880319. The cubic root of 223918656 is about 607.2442711016.

The spelling of 223918656 in words is "two hundred twenty-three million, nine hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 283 312 317 416 566 624 634 832 849 951 1132 1248 1268 1698 1902 2264 2496 2536 3396 3679 3804 4121 4528 5072 6792 7358 7608 8242 9056 10144 11037 12363 13584 14716 15216 16484 18112 20288 22074 24726 27168 29432 30432 32968 44148 49452 54336 58864 60864 65936 88296 89711 98904 117728 131872 176592 179422 197808 235456 263744 269133 353184 358844 395616 538266 706368 717688 791232 1076532 1166243 1435376 2153064 2332486 2870752 3498729 4306128 4664972 5741504 6997458 8612256 9329944 13994916 17224512 18659888 27989832 37319776 55979664 74639552 111959328 223918656