2272333200 has 120 divisors (see below), whose sum is σ = 7290345888. Its totient is φ = 605015040.

The previous prime is 2272333181. The next prime is 2272333211. The reversal of 2272333200 is 23332722.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1142607 + ... + 1144593.

Almost surely, 2^2272333200 is an apocalyptic number.

2272333200 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 2272333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645172944).

2272333200 is an abundant number, since it is smaller than the sum of its proper divisors (5018012688).

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

2272333200 is a wasteful number, since it uses less digits than its factorization.

2272333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 2272333200 is about 47668.9962134719. The cubic root of 2272333200 is about 1314.6919526909.

Adding to 2272333200 its reverse (23332722), we get a palindrome (2295665922).

The spelling of 2272333200 in words is "two billion, two hundred seventy-two million, three hundred thirty-three thousand, two hundred".