2272728200 has 36 divisors (see below), whose sum is σ = 5285661045. Its totient is φ = 908821600.

The previous prime is 2272728167. The next prime is 2272728251. The reversal of 2272728200 is 28272722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2227273636 + 45454564 = 47194^2 + 6742^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33710.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 672515 + ... + 675885.

Almost surely, 2^2272728200 is an apocalyptic number.

2272728200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272728200 is an abundant number, since it is smaller than the sum of its proper divisors (3012932845).

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

2272728200 is an frugal number, since it uses more digits than its factorization.

2272728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 2272728200 is about 47673.1391875970. The cubic root of 2272728200 is about 1314.7681259731.

Multiplying 2272728200 by its sum of digits (32), we get a square (72727302400 = 269680²).

The spelling of 2272728200 in words is "two billion, two hundred seventy-two million, seven hundred twenty-eight thousand, two hundred".