223744000 has 208 divisors, whose sum is σ = 613342080. Its totient is φ = 81100800.

The previous prime is 223743979. The next prime is 223744009. The reversal of 223744000 is 447322.

It is a super-2 number, since 2×223744000² = 100122755072000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (223744009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9727989 + ... + 9728011.

It is an arithmetic number, because the mean of its divisors is an integer number (2948760).

Almost surely, 2^223744000 is an apocalyptic number.

223744000 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 223744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306671040).

223744000 is an abundant number, since it is smaller than the sum of its proper divisors (389598080).

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

223744000 is an equidigital number, since it uses as much as digits as its factorization.

223744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 223744000 is about 14958.0747424259. The cubic root of 223744000 is about 607.0863470225.

The spelling of 223744000 in words is "two hundred twenty-three million, seven hundred forty-four thousand".