228085956 has 240 divisors, whose sum is σ = 737228800. Its totient is φ = 60046272.

The previous prime is 228085951. The next prime is 228085967. The reversal of 228085956 is 659580822.

It is not an unprimeable number, because it can be changed into a prime (228085951) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2887125 + ... + 2887203.

Almost surely, 2^228085956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228085956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368614400).

228085956 is an abundant number, since it is smaller than the sum of its proper divisors (509142844).

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

228085956 is a wasteful number, since it uses less digits than its factorization.

228085956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 228085956 is about 15102.5148899115. The cubic root of 228085956 is about 610.9882359920.

The spelling of 228085956 in words is "two hundred twenty-eight million, eighty-five thousand, nine hundred fifty-six".