233032323222000 has 960 divisors, whose sum is σ = 865039578923520. Its totient is φ = 60601105152000.

The previous prime is 233032323221977. The next prime is 233032323222037. The reversal of 233032323222000 is 222323230332.

233032323222000 is a `hidden beast` number, since 2 + 3 + 303 + 2 + 32 + 322 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×233032323222000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13771773540 + ... + 13771790460.

It is an arithmetic number, because the mean of its divisors is an integer number (901082894712).

Almost surely, 2^{233032323222000} is an apocalyptic number.

233032323222000 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 233032323222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432519789461760).

233032323222000 is an abundant number, since it is smaller than the sum of its proper divisors (632007255701520).

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

233032323222000 is a wasteful number, since it uses less digits than its factorization.

233032323222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17661 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 233032323222000 its reverse (222323230332), we get a palindrome (233254646452332).

The spelling of 233032323222000 in words is "two hundred thirty-three trillion, thirty-two billion, three hundred twenty-three million, two hundred twenty-two thousand".