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223065856 = 281397691
BaseRepresentation
bin11010100101110…
…11011100000000
3120112201220211101
431102323130000
5424101101411
634045024144
75346012526
oct1522733400
9515656741
10223065856
11104a07752
1262855054
13372a2040
14218a8316
15148b38c1
hexd4bb700

223065856 has 72 divisors (see below), whose sum is σ = 485155664. Its totient is φ = 101744640.

The previous prime is 223065841. The next prime is 223065877. The reversal of 223065856 is 658560322.

It is a happy number.

It is a super-2 number, since 2×2230658562 = 99516752226025472, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 322471 + ... + 323161.

Almost surely, 2223065856 is an apocalyptic number.

223065856 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 223065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242577832).

223065856 is an abundant number, since it is smaller than the sum of its proper divisors (262089808).

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

223065856 is an equidigital number, since it uses as much as digits as its factorization.

223065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 223065856 is about 14935.3893822692. The cubic root of 223065856 is about 606.4723885151.

It can be divided in two parts, 2230 and 65856, that added together give a palindrome (68086).

The spelling of 223065856 in words is "two hundred twenty-three million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 691 776 832 1261 1382 1552 1664 2522 2764 3104 3328 5044 5528 6208 8983 10088 11056 12416 17966 20176 22112 24832 35932 40352 44224 67027 71864 80704 88448 134054 143728 161408 176896 268108 287456 322816 536216 574912 871351 1072432 1149824 1742702 2144864 2299648 3485404 4289728 6970808 8579456 13941616 17158912 27883232 55766464 111532928 223065856