2225334400 has 96 divisors (see below), whose sum is σ = 5537926800. Its totient is φ = 883553280.

The previous prime is 2225334379. The next prime is 2225334403. The reversal of 2225334400 is 44335222.

It is a super-2 number, since 2×2225334400² = 9904226383646720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2225334403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442299 + ... + 447301.

Almost surely, 2^2225334400 is an apocalyptic number.

2225334400 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 2225334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768963400).

2225334400 is an abundant number, since it is smaller than the sum of its proper divisors (3312592400).

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

2225334400 is a wasteful number, since it uses less digits than its factorization.

2225334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2225334400 is about 47173.4501600212. The cubic root of 2225334400 is about 1305.5647844292.

Adding to 2225334400 its reverse (44335222), we get a palindrome (2269669622).

The spelling of 2225334400 in words is "two billion, two hundred twenty-five million, three hundred thirty-four thousand, four hundred".