228766560 has 192 divisors, whose sum is σ = 808061184. Its totient is φ = 53913600.

The previous prime is 228766543. The next prime is 228766561. The reversal of 228766560 is 65667822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228766561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 194775 + ... + 195945.

It is an arithmetic number, because the mean of its divisors is an integer number (4208652).

Almost surely, 2^228766560 is an apocalyptic number.

228766560 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 228766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404030592).

228766560 is an abundant number, since it is smaller than the sum of its proper divisors (579294624).

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

228766560 is a wasteful number, since it uses less digits than its factorization.

228766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 228766560 is about 15125.0309090593. The cubic root of 228766560 is about 611.5953581321.

The spelling of 228766560 in words is "two hundred twenty-eight million, seven hundred sixty-six thousand, five hundred sixty".