223355120 has 80 divisors (see below), whose sum is σ = 535680000. Its totient is φ = 86571264.

The previous prime is 223355113. The next prime is 223355147. The reversal of 223355120 is 21553322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372581 + ... + 373179.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2^223355120 is an apocalyptic number.

223355120 is a gapful number since it is divisible by the number (20) 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 223355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

223355120 is an abundant number, since it is smaller than the sum of its proper divisors (312324880).

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

223355120 is a wasteful number, since it uses less digits than its factorization.

223355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 223355120 is about 14945.0700901669. The cubic root of 223355120 is about 606.7344260078.

The spelling of 223355120 in words is "two hundred twenty-three million, three hundred fifty-five thousand, one hundred twenty".