223223064 has 64 divisors (see below), whose sum is σ = 579363840. Its totient is φ = 71594880.

The previous prime is 223223053. The next prime is 223223081. The reversal of 223223064 is 460322322.

It is a happy number.

It is a super-3 number, since 3×223223064³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 145807 + ... + 147329.

It is an arithmetic number, because the mean of its divisors is an integer number (9052560).

Almost surely, 2^223223064 is an apocalyptic number.

223223064 is a gapful number since it is divisible by the number (24) 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 223223064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

223223064 is an abundant number, since it is smaller than the sum of its proper divisors (356140776).

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

223223064 is a wasteful number, since it uses less digits than its factorization.

223223064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 223223064 is about 14940.6513914220. The cubic root of 223223064 is about 606.6148276493.

Adding to 223223064 its reverse (460322322), we get a palindrome (683545386).

It can be divided in two parts, 2232 and 23064, that multiplied together give a cube (51478848 = 372³).

The spelling of 223223064 in words is "two hundred twenty-three million, two hundred twenty-three thousand, sixty-four".