228777800 has 48 divisors (see below), whose sum is σ = 536156160. Its totient is φ = 90780480.

The previous prime is 228777779. The next prime is 228777847. The reversal of 228777800 is 8777822.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20897 + ... + 29903.

It is an arithmetic number, because the mean of its divisors is an integer number (11169920).

Almost surely, 2^228777800 is an apocalyptic number.

228777800 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 228777800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268078080).

228777800 is an abundant number, since it is smaller than the sum of its proper divisors (307378360).

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

228777800 is a wasteful number, since it uses less digits than its factorization.

228777800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 228777800 is about 15125.4024739840. The cubic root of 228777800 is about 611.6053744842.

The spelling of 228777800 in words is "two hundred twenty-eight million, seven hundred seventy-seven thousand, eight hundred".