228378852100 has 81 divisors (see below), whose sum is σ = 576577929333. Its totient is φ = 78289851360.

The previous prime is 228378852089. The next prime is 228378852101. The reversal of 228378852100 is 1258873822.

The square root of 228378852100 is 477890.

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

It can be written as a sum of positive squares in only one way, i.e., 82216386756 + 146162465344 = 286734^2 + 382312^2 .

It is not an unprimeable number, because it can be changed into a prime (228378852101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33448887 + ... + 33455713.

Almost surely, 2^228378852100 is an apocalyptic number.

228378852100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228378852100 is the 477890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228378852100

228378852100 is an abundant number, since it is smaller than the sum of its proper divisors (348199077233).

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

228378852100 is an frugal number, since it uses more digits than its factorization.

228378852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 228378852100 in words is "two hundred twenty-eight billion, three hundred seventy-eight million, eight hundred fifty-two thousand, one hundred".