223213344 has 96 divisors (see below), whose sum is σ = 625895424. Its totient is φ = 69484800.

The previous prime is 223213303. The next prime is 223213351. The reversal of 223213344 is 443312322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223213344³ (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 nude number because it is divisible by every one of its digits.

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, 93769 + ... + 96119.

It is an arithmetic number, because the mean of its divisors is an integer number (6519744).

Almost surely, 2^223213344 is an apocalyptic number.

223213344 is a gapful number since it is divisible by the number (24) 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 223213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

223213344 is an abundant number, since it is smaller than the sum of its proper divisors (402682080).

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

223213344 is a wasteful number, since it uses less digits than its factorization.

223213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2422 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 223213344 is about 14940.3261008587. The cubic root of 223213344 is about 606.6060227322.

Adding to 223213344 its reverse (443312322), we get a palindrome (666525666).

It can be divided in two parts, 2232 and 13344, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 223213344 in words is "two hundred twenty-three million, two hundred thirteen thousand, three hundred forty-four".