2322253200 has 240 divisors, whose sum is σ = 7707927296. Its totient is φ = 597196800.

The previous prime is 2322253181. The next prime is 2322253201. The reversal of 2322253200 is 23522232.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2322253201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8569065 + ... + 8569335.

Almost surely, 2^2322253200 is an apocalyptic number.

2322253200 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 2322253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853963648).

2322253200 is an abundant number, since it is smaller than the sum of its proper divisors (5385674096).

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

2322253200 is a wasteful number, since it uses less digits than its factorization.

2322253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2322253200 is about 48189.7623982522. The cubic root of 2322253200 is about 1324.2496190270.

Adding to 2322253200 its reverse (23522232), we get a palindrome (2345775432).

The spelling of 2322253200 in words is "two billion, three hundred twenty-two million, two hundred fifty-three thousand, two hundred".