228289152 has 256 divisors, whose sum is σ = 767692800. Its totient is φ = 58503168.

The previous prime is 228289151. The next prime is 228289163. The reversal of 228289152 is 251982822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 228289152.

It is not an unprimeable number, because it can be changed into a prime (228289151) 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, 1642299 + ... + 1642437.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^228289152 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 228289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383846400).

228289152 is an abundant number, since it is smaller than the sum of its proper divisors (539403648).

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

228289152 is a wasteful number, since it uses less digits than its factorization.

228289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 228289152 is about 15109.2406162586. The cubic root of 228289152 is about 611.1696201195.

The spelling of 228289152 in words is "two hundred twenty-eight million, two hundred eighty-nine thousand, one hundred fifty-two".