223256 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 97440.

The previous prime is 223253. The next prime is 223259. The reversal of 223256 is 652322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223253) and next prime (223259).

It is a super-3 number, since 3×223256³ = 33383408197083648, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2¹² + 2¹⁶ + 2¹⁶ + 3⁷ + 5⁷ + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3755 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²²³²⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 472×473.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

223256 is an abundant number, since it is smaller than the sum of its proper divisors (251944).

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

223256 is a wasteful number, since it uses less digits than its factorization.

223256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 223256 is about 472.4997354497. The cubic root of 223256 is about 60.6644661011.

Adding to 223256 its reverse (652322), we get a palindrome (875578).

The spelling of 223256 in words is "two hundred twenty-three thousand, two hundred fifty-six".