228369294400 has 189 divisors, whose sum is σ = 609144541551. Its totient is φ = 84229217280.

The previous prime is 228369294347. The next prime is 228369294403. The reversal of 228369294400 is 4492963822.

The square root of 228369294400 is 477880.

It is a perfect power (a square), and thus also a powerful number.

228369294400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58862523456 + 169506770944 = 242616^2 + 411712^2 .

It is not an unprimeable number, because it can be changed into a prime (228369294403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248497141 + ... + 248498059.

Almost surely, 2^228369294400 is an apocalyptic number.

228369294400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228369294400 is the 477880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228369294400

228369294400 is an abundant number, since it is smaller than the sum of its proper divisors (380775247151).

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

228369294400 is an frugal number, since it uses more digits than its factorization.

228369294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 228369294400 by its sum of digits (49), we get a square (11190095425600 = 3345160²).

The spelling of 228369294400 in words is "two hundred twenty-eight billion, three hundred sixty-nine million, two hundred ninety-four thousand, four hundred".