223144000 has 56 divisors (see below), whose sum is σ = 552635928. Its totient is φ = 89254400.

The previous prime is 223143979. The next prime is 223144001. The reversal of 223144000 is 441322.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 216913984 = 2496^2 + 14728^2 .

It is a super-3 number, since 3×223144000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5947 + ... + 21946.

Almost surely, 2^223144000 is an apocalyptic number.

223144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223144000 is an abundant number, since it is smaller than the sum of its proper divisors (329491928).

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

223144000 is an equidigital number, since it uses as much as digits as its factorization.

223144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27920 (or 27900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 223144000 is about 14938.0052215816. The cubic root of 223144000 is about 606.5431996590.

Adding to 223144000 its reverse (441322), we get a palindrome (223585322).

The spelling of 223144000 in words is "two hundred twenty-three million, one hundred forty-four thousand".