223324992 has 224 divisors, whose sum is σ = 741273600. Its totient is φ = 65318400.

The previous prime is 223324957. The next prime is 223324999. The reversal of 223324992 is 299423322.

223324992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223324999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589059 + ... + 589437.

Almost surely, 2^223324992 is an apocalyptic number.

223324992 is a gapful number since it is divisible by the number (22) 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 223324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636800).

223324992 is an abundant number, since it is smaller than the sum of its proper divisors (517948608).

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

223324992 is a wasteful number, since it uses less digits than its factorization.

223324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 223324992 is about 14944.0620983720. The cubic root of 223324992 is about 606.7071443158.

It can be divided in two parts, 2233 and 24992, that added together give a square (27225 = 165²).

The spelling of 223324992 in words is "two hundred twenty-three million, three hundred twenty-four thousand, nine hundred ninety-two".