228821760 has 180 divisors, whose sum is σ = 819137088. Its totient is φ = 60991488.

The previous prime is 228821753. The next prime is 228821777. The reversal of 228821760 is 67128822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102577 + ... + 104783.

Almost surely, 2^228821760 is an apocalyptic number.

228821760 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 228821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409568544).

228821760 is an abundant number, since it is smaller than the sum of its proper divisors (590315328).

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

228821760 is an equidigital number, since it uses as much as digits as its factorization.

228821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 228821760 is about 15126.8555886542. The cubic root of 228821760 is about 611.6445456077.

It can be divided in two parts, 22882 and 1760, that added together give a palindrome (24642).

The spelling of 228821760 in words is "two hundred twenty-eight million, eight hundred twenty-one thousand, seven hundred sixty".