223446720 has 224 divisors, whose sum is σ = 831591936. Its totient is φ = 49766400.

The previous prime is 223446719. The next prime is 223446731. The reversal of 223446720 is 27644322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275115 + ... + 275925.

It is an arithmetic number, because the mean of its divisors is an integer number (3712464).

Almost surely, 2^223446720 is an apocalyptic number.

223446720 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 223446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415795968).

223446720 is an abundant number, since it is smaller than the sum of its proper divisors (608145216).

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

223446720 is a wasteful number, since it uses less digits than its factorization.

223446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 223446720 is about 14948.1343317486. The cubic root of 223446720 is about 606.8173571380.

The spelling of 223446720 in words is "two hundred twenty-three million, four hundred forty-six thousand, seven hundred twenty".