228585240 has 288 divisors, whose sum is σ = 843176880. Its totient is φ = 55427328.

The previous prime is 228585211. The next prime is 228585251. The reversal of 228585240 is 42585822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228585195 and 228585204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3411687 + ... + 3411753.

Almost surely, 2^228585240 is an apocalyptic number.

228585240 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 228585240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421588440).

228585240 is an abundant number, since it is smaller than the sum of its proper divisors (614591640).

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

228585240 is an equidigital number, since it uses as much as digits as its factorization.

228585240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 228585240 is about 15119.0356835348. The cubic root of 228585240 is about 611.4337322641.

The spelling of 228585240 in words is "two hundred twenty-eight million, five hundred eighty-five thousand, two hundred forty".