230220103304400 has 960 divisors, whose sum is σ = 830927443906560. Its totient is φ = 54005253120000.

The previous prime is 230220103304381. The next prime is 230220103304407. The reversal of 230220103304400 is 4403301022032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230220103304407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27841343466 + ... + 27841351734.

It is an arithmetic number, because the mean of its divisors is an integer number (865549420736).

Almost surely, 2^{230220103304400} is an apocalyptic number.

230220103304400 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 230220103304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415463721953280).

230220103304400 is an abundant number, since it is smaller than the sum of its proper divisors (600707340602160).

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

230220103304400 is a wasteful number, since it uses less digits than its factorization.

230220103304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8785 counting only the distinct ones).

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

Adding to 230220103304400 its reverse (4403301022032), we get a palindrome (234623404326432).

The spelling of 230220103304400 in words is "two hundred thirty trillion, two hundred twenty billion, one hundred three million, three hundred four thousand, four hundred".