2205223200 has 216 divisors, whose sum is σ = 7905220596. Its totient is φ = 578304000.

The previous prime is 2205223129. The next prime is 2205223231. The reversal of 2205223200 is 23225022.

It can be written as a sum of positive squares in 6 ways, for example, as 658846224 + 1546376976 = 25668^2 + 39324^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436690 + ... + 441710.

Almost surely, 2^2205223200 is an apocalyptic number.

2205223200 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 2205223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952610298).

2205223200 is an abundant number, since it is smaller than the sum of its proper divisors (5699997396).

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

2205223200 is a wasteful number, since it uses less digits than its factorization.

2205223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2205223200 is about 46959.8040881774. The cubic root of 2205223200 is about 1301.6199135467.

Adding to 2205223200 its reverse (23225022), we get a palindrome (2228448222).

The spelling of 2205223200 in words is "two billion, two hundred five million, two hundred twenty-three thousand, two hundred".