233223000 has 192 divisors, whose sum is σ = 775850400. Its totient is φ = 58316800.

The previous prime is 233222993. The next prime is 233223007. The reversal of 233223000 is 322332.

It is an interprime number because it is at equal distance from previous prime (233222993) and next prime (233223007).

It is a super-3 number, since 3×233223000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233223007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866866 + ... + 867134.

Almost surely, 2^233223000 is an apocalyptic number.

233223000 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 233223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387925200).

233223000 is an abundant number, since it is smaller than the sum of its proper divisors (542627400).

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

233223000 is a wasteful number, since it uses less digits than its factorization.

233223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 233223000 is about 15271.6403834035. The cubic root of 233223000 is about 615.5411985358.

Adding to 233223000 its reverse (322332), we get a palindrome (233545332).

The spelling of 233223000 in words is "two hundred thirty-three million, two hundred twenty-three thousand".