223656864 has 48 divisors (see below), whose sum is σ = 590742432. Its totient is φ = 74089728.

The previous prime is 223656833. The next prime is 223656869. The reversal of 223656864 is 468656322.

It is a happy number.

223656864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (223656869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8502 + ... + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (12307134).

Almost surely, 2^223656864 is an apocalyptic number.

223656864 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 223656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295371216).

223656864 is an abundant number, since it is smaller than the sum of its proper divisors (367085568).

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

223656864 is a wasteful number, since it uses less digits than its factorization.

223656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14469 (or 14461 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 223656864 is about 14955.1617844810. The cubic root of 223656864 is about 607.0075278594.

The spelling of 223656864 in words is "two hundred twenty-three million, six hundred fifty-six thousand, eight hundred sixty-four".