233342113200 has 480 divisors, whose sum is σ = 880919331840. Its totient is φ = 51682406400.

The previous prime is 233342113181. The next prime is 233342113259. The reversal of 233342113200 is 2311243332.

It is a super-2 number, since 2×233342113200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83603805 + ... + 83606595.

It is an arithmetic number, because the mean of its divisors is an integer number (1835248608).

Almost surely, 2^233342113200 is an apocalyptic number.

233342113200 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 233342113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440459665920).

233342113200 is an abundant number, since it is smaller than the sum of its proper divisors (647577218640).

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

233342113200 is a wasteful number, since it uses less digits than its factorization.

233342113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233342113200 its reverse (2311243332), we get a palindrome (235653356532).

The spelling of 233342113200 in words is "two hundred thirty-three billion, three hundred forty-two million, one hundred thirteen thousand, two hundred".