228384144 has 40 divisors (see below), whose sum is σ = 655548320. Its totient is φ = 76127904.

The previous prime is 228384119. The next prime is 228384179. The reversal of 228384144 is 441483822.

It is a super-2 number, since 2×228384144² = 104318634461225472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228384099 and 228384108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263902 + ... + 264765.

It is an arithmetic number, because the mean of its divisors is an integer number (16388708).

Almost surely, 2^228384144 is an apocalyptic number.

228384144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228384144 is an abundant number, since it is smaller than the sum of its proper divisors (427164176).

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

228384144 is a wasteful number, since it uses less digits than its factorization.

228384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528684 (or 528672 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 228384144 is about 15112.3837960793. The cubic root of 228384144 is about 611.2543783796.

The spelling of 228384144 in words is "two hundred twenty-eight million, three hundred eighty-four thousand, one hundred forty-four".