233223210000000 has 1536 divisors, whose sum is σ = 940048718469120. Its totient is φ = 55002240000000.

The previous prime is 233223209999999. The next prime is 233223210000041. The reversal of 233223210000000 is 12322332.

It is a happy number.

233223210000000 is a `hidden beast` number, since 2 + 332 + 232 + 100 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36629996817 + ... + 36630003183.

It is an arithmetic number, because the mean of its divisors is an integer number (612010884420).

Almost surely, 2^{233223210000000} is an apocalyptic number.

233223210000000 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 233223210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470024359234560).

233223210000000 is an abundant number, since it is smaller than the sum of its proper divisors (706825508469120).

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

233223210000000 is an frugal number, since it uses more digits than its factorization.

233223210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6425 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 233223210000000 its reverse (12322332), we get a palindrome (233223222322332).

The spelling of 233223210000000 in words is "two hundred thirty-three trillion, two hundred twenty-three billion, two hundred ten million", and thus it is an aban number.