228114120 has 256 divisors, whose sum is σ = 783820800. Its totient is φ = 52715520.

The previous prime is 228114091. The next prime is 228114121. The reversal of 228114120 is 21411822.

228114120 is a nontrivial binomial coefficient, being equal to C(21360, 2).

It is not an unprimeable number, because it can be changed into a prime (228114121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563036 + ... + 2563124.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2^228114120 is an apocalyptic number.

228114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228114120 is the 21359-th triangular number and also the 10680-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

228114120 is an abundant number, since it is smaller than the sum of its proper divisors (555706680).

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

228114120 is a wasteful number, since it uses less digits than its factorization.

228114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 228114120 is about 15103.4472886159. The cubic root of 228114120 is about 611.0133831847.

Adding to 228114120 its reverse (21411822), we get a palindrome (249525942).

The spelling of 228114120 in words is "two hundred twenty-eight million, one hundred fourteen thousand, one hundred twenty".