228259584 has 108 divisors (see below), whose sum is σ = 752200176. Its totient is φ = 65212416.

The previous prime is 228259571. The next prime is 228259601. The reversal of 228259584 is 485952822.

228259584 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9052 + ... + 23204.

Almost surely, 2^228259584 is an apocalyptic number.

228259584 is a gapful number since it is divisible by the number (24) 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 228259584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376100088).

228259584 is an abundant number, since it is smaller than the sum of its proper divisors (523940592).

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

228259584 is a wasteful number, since it uses less digits than its factorization.

228259584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14182 (or 14165 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 228259584 is about 15108.2621105142. The cubic root of 228259584 is about 611.1432327603.

The spelling of 228259584 in words is "two hundred twenty-eight million, two hundred fifty-nine thousand, five hundred eighty-four".