2230344330100 has 72 divisors (see below), whose sum is σ = 5128314688728. Its totient is φ = 839041228800.

The previous prime is 2230344330079. The next prime is 2230344330217. The reversal of 2230344330100 is 10334430322.

It can be written as a sum of positive squares in 12 ways, for example, as 1059594361956 + 1170749968144 = 1029366^2 + 1082012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831714 + ... + 2795686.

It is an arithmetic number, because the mean of its divisors is an integer number (71226592899).

Almost surely, 2^{2230344330100} is an apocalyptic number.

2230344330100 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 2230344330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564157344364).

2230344330100 is an abundant number, since it is smaller than the sum of its proper divisors (2897970358628).

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

2230344330100 is a wasteful number, since it uses less digits than its factorization.

2230344330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965365 (or 965358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 2230344330100 its reverse (10334430322), we get a palindrome (2240678760422).

The spelling of 2230344330100 in words is "two trillion, two hundred thirty billion, three hundred forty-four million, three hundred thirty thousand, one hundred".