233921820000 has 480 divisors, whose sum is σ = 854989115904. Its totient is φ = 55494400000.

The previous prime is 233921819981. The next prime is 233921820007. The reversal of 233921820000 is 28129332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×233921820000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 233921820000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233921820007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31016230 + ... + 31023770.

Almost surely, 2^233921820000 is an apocalyptic number.

233921820000 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 233921820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427494557952).

233921820000 is an abundant number, since it is smaller than the sum of its proper divisors (621067295904).

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

233921820000 is a wasteful number, since it uses less digits than its factorization.

233921820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 233921820000 its reverse (28129332), we get a palindrome (233949949332).

The spelling of 233921820000 in words is "two hundred thirty-three billion, nine hundred twenty-one million, eight hundred twenty thousand".