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223105728 = 2631162009
BaseRepresentation
bin11010100110001…
…01001011000000
3120112210221112010
431103011023000
5424103340403
634045532520
75346240006
oct1523051300
9515727463
10223105728
11104a346aa
1262874140
13372b7231
14218b8a76
15148c0603
hexd4c52c0

223105728 has 28 divisors (see below), whose sum is σ = 590301080. Its totient is φ = 74368512.

The previous prime is 223105721. The next prime is 223105741. The reversal of 223105728 is 827501322.

It is a super-3 number, since 3×2231057283 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223105695 and 223105704.

It is not an unprimeable number, because it can be changed into a prime (223105721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 580813 + ... + 581196.

Almost surely, 2223105728 is an apocalyptic number.

It is an amenable number.

223105728 is an abundant number, since it is smaller than the sum of its proper divisors (367195352).

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

223105728 is a wasteful number, since it uses less digits than its factorization.

223105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162024 (or 1162014 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 223105728 is about 14936.7241388465. The cubic root of 223105728 is about 606.5085210829.

The spelling of 223105728 in words is "two hundred twenty-three million, one hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1162009 2324018 3486027 4648036 6972054 9296072 13944108 18592144 27888216 37184288 55776432 74368576 111552864 223105728