233222133100 has 72 divisors (see below), whose sum is σ = 559089216000. Its totient is φ = 83734497600.

The previous prime is 233222133047. The next prime is 233222133101. The reversal of 233222133100 is 1331222332.

It is a super-2 number, since 2×233222133100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (233222133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255000 + ... + 1428799.

It is an arithmetic number, because the mean of its divisors is an integer number (7765128000).

Almost surely, 2^233222133100 is an apocalyptic number.

233222133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233222133100 is an abundant number, since it is smaller than the sum of its proper divisors (325867082900).

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

233222133100 is a wasteful number, since it uses less digits than its factorization.

233222133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683903 (or 2683896 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233222133100 its reverse (1331222332), we get a palindrome (234553355432).

The spelling of 233222133100 in words is "two hundred thirty-three billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred".