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223986896 = 24719671571
BaseRepresentation
bin11010101100111…
…00010011010000
3120121110201020222
431112130103100
5424320040041
634120452212
75356600010
oct1526342320
9517421228
10223986896
11105486741
126301a068
1337535333
1421a67c40
15149e674b
hexd59c4d0

223986896 has 80 divisors (see below), whose sum is σ = 530204160. Its totient is φ = 89527680.

The previous prime is 223986887. The next prime is 223986911. The reversal of 223986896 is 698689322.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 141791 + ... + 143361.

It is an arithmetic number, because the mean of its divisors is an integer number (6627552).

Almost surely, 2223986896 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 223986896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265102080).

223986896 is an abundant number, since it is smaller than the sum of its proper divisors (306217264).

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

223986896 is a wasteful number, since it uses less digits than its factorization.

223986896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 223986896 is about 14966.1917667789. The cubic root of 223986896 is about 607.3059514472.

The spelling of 223986896 in words is "two hundred twenty-three million, nine hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 67 76 112 133 134 152 266 268 304 469 532 536 938 1064 1072 1273 1571 1876 2128 2546 3142 3752 5092 6284 7504 8911 10184 10997 12568 17822 20368 21994 25136 29849 35644 43988 59698 71288 87976 105257 119396 142576 175952 208943 210514 238792 417886 421028 477584 736799 835772 842056 1473598 1671544 1684112 1999883 2947196 3343088 3999766 5894392 7999532 11788784 13999181 15999064 27998362 31998128 55996724 111993448 223986896