233222112300 has 144 divisors (see below), whose sum is σ = 681818860800. Its totient is φ = 61547808000.

The previous prime is 233222112257. The next prime is 233222112329. The reversal of 233222112300 is 3211222332.

It is a happy number.

It is a super-2 number, since 2×233222112300² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12176131 + ... + 12195269.

It is an arithmetic number, because the mean of its divisors is an integer number (4734853200).

Almost surely, 2^233222112300 is an apocalyptic number.

233222112300 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 233222112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340909430400).

233222112300 is an abundant number, since it is smaller than the sum of its proper divisors (448596748500).

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

233222112300 is a wasteful number, since it uses less digits than its factorization.

233222112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19576 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233222112300 its reverse (3211222332), we get a palindrome (236433334632).

The spelling of 233222112300 in words is "two hundred thirty-three billion, two hundred twenty-two million, one hundred twelve thousand, three hundred".