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223232256 = 28321329257
BaseRepresentation
bin11010100111001…
…00000100000000
3120120001101002100
431103210010000
5424121413011
634052350400
75350304622
oct1523440400
9516041070
10223232256
11105010775
1262915400
133732c9c0
142190cc12
15148e7d56
hexd4e4100

223232256 has 216 divisors, whose sum is σ = 719835480. Its totient is φ = 66060288.

The previous prime is 223232231. The next prime is 223232257. The reversal of 223232256 is 652232322.

It can be written as a sum of positive squares in 4 ways, for example, as 58982400 + 164249856 = 7680^2 + 12816^2 .

It is a super-3 number, since 3×2232322563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223232257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868480 + ... + 868736.

Almost surely, 2223232256 is an apocalyptic number.

223232256 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 223232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359917740).

223232256 is an abundant number, since it is smaller than the sum of its proper divisors (496603224).

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

223232256 is a wasteful number, since it uses less digits than its factorization.

223232256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 223232256 is about 14940.9590053651. The cubic root of 223232256 is about 606.6231540395.

Adding to 223232256 its reverse (652232322), we get a palindrome (875464578).

The spelling of 223232256 in words is "two hundred twenty-three million, two hundred thirty-two thousand, two hundred fifty-six".