228777120 has 432 divisors, whose sum is σ = 933286536. Its totient is φ = 50688000.

The previous prime is 228777091. The next prime is 228777139. The reversal of 228777120 is 21777822.

228777120 is digitally balanced in base 3, 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 199487376 + 29289744 = 14124^2 + 5412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 2265070 + ... + 2265170.

Almost surely, 2^228777120 is an apocalyptic number.

228777120 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 228777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466643268).

228777120 is an abundant number, since it is smaller than the sum of its proper divisors (704509416).

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

228777120 is a wasteful number, since it uses less digits than its factorization.

228777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 228777120 is about 15125.3799952266. The cubic root of 228777120 is about 611.6047685221.

The spelling of 228777120 in words is "two hundred twenty-eight million, seven hundred seventy-seven thousand, one hundred twenty".