223585164 has 144 divisors (see below), whose sum is σ = 654138240. Its totient is φ = 65482560.

The previous prime is 223585147. The next prime is 223585171. The reversal of 223585164 is 461585322.

223585164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337059 + ... + 3337125.

Almost surely, 2^223585164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223585164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327069120).

223585164 is an abundant number, since it is smaller than the sum of its proper divisors (430553076).

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

223585164 is a wasteful number, since it uses less digits than its factorization.

223585164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 136 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 223585164 is about 14952.7644266871. The cubic root of 223585164 is about 606.9426560276.

The spelling of 223585164 in words is "two hundred twenty-three million, five hundred eighty-five thousand, one hundred sixty-four".