228184320 has 288 divisors, whose sum is σ = 898313472. Its totient is φ = 48070656.

The previous prime is 228184309. The next prime is 228184321. The reversal of 228184320 is 23481822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (228184321) 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 31 ways as a sum of consecutive naturals, for example, 349114 + ... + 349766.

It is an arithmetic number, because the mean of its divisors is an integer number (3119144).

Almost surely, 2^228184320 is an apocalyptic number.

228184320 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 228184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449156736).

228184320 is an abundant number, since it is smaller than the sum of its proper divisors (670129152).

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

228184320 is a wasteful number, since it uses less digits than its factorization.

228184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 228184320 is about 15105.7710826028. The cubic root of 228184320 is about 611.0760546526.

The spelling of 228184320 in words is "two hundred twenty-eight million, one hundred eighty-four thousand, three hundred twenty".