233122000 has 80 divisors (see below), whose sum is σ = 567262800. Its totient is φ = 92659200.

The previous prime is 233121983. The next prime is 233122007. The reversal of 233122000 is 221332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7160976 + 225961024 = 2676^2 + 15032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457746 + ... + 458254.

It is an arithmetic number, because the mean of its divisors is an integer number (7090785).

Almost surely, 2^233122000 is an apocalyptic number.

233122000 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 233122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283631400).

233122000 is an abundant number, since it is smaller than the sum of its proper divisors (334140800).

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

233122000 is a wasteful number, since it uses less digits than its factorization.

233122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233122000 is about 15268.3332423680. Note that the first 3 decimals coincide. The cubic root of 233122000 is about 615.4523298884.

Adding to 233122000 its reverse (221332), we get a palindrome (233343332).

The spelling of 233122000 in words is "two hundred thirty-three million, one hundred twenty-two thousand".