232223201032200 has 384 divisors, whose sum is σ = 854463762604800. Its totient is φ = 51064721326080.

The previous prime is 232223201032177. The next prime is 232223201032211. The reversal of 232223201032200 is 2230102322232.

232223201032200 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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, 5435332 + ... + 22225868.

It is an arithmetic number, because the mean of its divisors is an integer number (2225166048450).

Almost surely, 2^{232223201032200} is an apocalyptic number.

232223201032200 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 232223201032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427231881302400).

232223201032200 is an abundant number, since it is smaller than the sum of its proper divisors (622240561572600).

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

232223201032200 is a wasteful number, since it uses less digits than its factorization.

232223201032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16790689 (or 16790680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232223201032200 its reverse (2230102322232), we get a palindrome (234453303354432).

The spelling of 232223201032200 in words is "two hundred thirty-two trillion, two hundred twenty-three billion, two hundred one million, thirty-two thousand, two hundred".