223142320 has 80 divisors (see below), whose sum is σ = 545268672. Its totient is φ = 84761600.

The previous prime is 223142317. The next prime is 223142333. The reversal of 223142320 is 23241322.

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

It is a super-3 number, since 3×223142320³ (a number of 26 digits) contains 333 as substring.

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, 317970 + ... + 318670.

Almost surely, 2^223142320 is an apocalyptic number.

223142320 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 223142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272634336).

223142320 is an abundant number, since it is smaller than the sum of its proper divisors (322126352).

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

223142320 is a wasteful number, since it uses less digits than its factorization.

223142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 223142320 is about 14937.9489890681. The cubic root of 223142320 is about 606.5416774803.

Adding to 223142320 its reverse (23241322), we get a palindrome (246383642).

It can be divided in two parts, 2231 and 42320, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 223142320 in words is "two hundred twenty-three million, one hundred forty-two thousand, three hundred twenty".