223688064 has 256 divisors, whose sum is σ = 689356800. Its totient is φ = 63866880.

The previous prime is 223688053. The next prime is 223688077. The reversal of 223688064 is 460886322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5202027 + ... + 5202069.

It is an arithmetic number, because the mean of its divisors is an integer number (2692800).

Almost surely, 2^223688064 is an apocalyptic number.

223688064 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 223688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344678400).

223688064 is an abundant number, since it is smaller than the sum of its proper divisors (465668736).

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

223688064 is a wasteful number, since it uses less digits than its factorization.

223688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 223688064 is about 14956.2048662085. The cubic root of 223688064 is about 607.0357522772.

The spelling of 223688064 in words is "two hundred twenty-three million, six hundred eighty-eight thousand, sixty-four".