223219320 has 64 divisors (see below), whose sum is σ = 672416640. Its totient is φ = 59280000.

The previous prime is 223219291. The next prime is 223219331. The reversal of 223219320 is 23912322.

223219320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223219320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26415 + ... + 33825.

It is an arithmetic number, because the mean of its divisors is an integer number (10506510).

Almost surely, 2^223219320 is an apocalyptic number.

223219320 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 223219320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336208320).

223219320 is an abundant number, since it is smaller than the sum of its proper divisors (449197320).

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

223219320 is a wasteful number, since it uses less digits than its factorization.

223219320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 223219320 is about 14940.5260951547. The cubic root of 223219320 is about 606.6114361560.

The spelling of 223219320 in words is "two hundred twenty-three million, two hundred nineteen thousand, three hundred twenty".