223641000 has 320 divisors, whose sum is σ = 856215360. Its totient is φ = 54000000.

The previous prime is 223640999. The next prime is 223641007. The reversal of 223641000 is 146322.

It is a happy number.

223641000 is a `hidden beast` number, since 2 + 23 + 641 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223641007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 890875 + ... + 891125.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 2^223641000 is an apocalyptic number.

223641000 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 223641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

223641000 is an abundant number, since it is smaller than the sum of its proper divisors (632574360).

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

223641000 is a wasteful number, since it uses less digits than its factorization.

223641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223641000 is about 14954.6313896398. The cubic root of 223641000 is about 606.9931758219.

Adding to 223641000 its reverse (146322), we get a palindrome (223787322).

The spelling of 223641000 in words is "two hundred twenty-three million, six hundred forty-one thousand".