2205152300 has 144 divisors (see below), whose sum is σ = 5291661312. Its totient is φ = 792710400.

The previous prime is 2205152267. The next prime is 2205152303. The reversal of 2205152300 is 32515022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2205152303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11545205 + ... + 11545395.

It is an arithmetic number, because the mean of its divisors is an integer number (36747648).

Almost surely, 2^2205152300 is an apocalyptic number.

2205152300 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 2205152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645830656).

2205152300 is an abundant number, since it is smaller than the sum of its proper divisors (3086509012).

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

2205152300 is a wasteful number, since it uses less digits than its factorization.

2205152300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2205152300 is about 46959.0491811749. The cubic root of 2205152300 is about 1301.6059639623.

Adding to 2205152300 its reverse (32515022), we get a palindrome (2237667322).

The spelling of 2205152300 in words is "two billion, two hundred five million, one hundred fifty-two thousand, three hundred".