2268227200 has 96 divisors (see below), whose sum is σ = 5619601260. Its totient is φ = 904642560.

The previous prime is 2268227197. The next prime is 2268227207. The reversal of 2268227200 is 27228622.

It can be written as a sum of positive squares in 6 ways, for example, as 30558784 + 2237668416 = 5528^2 + 47304^2 .

It is not an unprimeable number, because it can be changed into a prime (2268227207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384782 + ... + 1386418.

Almost surely, 2^2268227200 is an apocalyptic number.

2268227200 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 2268227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809800630).

2268227200 is an abundant number, since it is smaller than the sum of its proper divisors (3351374060).

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

2268227200 is a wasteful number, since it uses less digits than its factorization.

2268227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2268227200 is about 47625.9089152113. The cubic root of 2268227200 is about 1313.8996129331.

The spelling of 2268227200 in words is "two billion, two hundred sixty-eight million, two hundred twenty-seven thousand, two hundred".