223958072 has 64 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 98841600.

The previous prime is 223958047. The next prime is 223958081. The reversal of 223958072 is 270859322.

223958072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 225497 + ... + 226487.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^223958072 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 223958072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

223958072 is an abundant number, since it is smaller than the sum of its proper divisors (248511688).

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

223958072 is a wasteful number, since it uses less digits than its factorization.

223958072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 223958072 is about 14965.2287653748. The cubic root of 223958072 is about 607.2798997183.

The spelling of 223958072 in words is "two hundred twenty-three million, nine hundred fifty-eight thousand, seventy-two".