228339216 has 320 divisors, whose sum is σ = 809472000. Its totient is φ = 61471872.

The previous prime is 228339197. The next prime is 228339217. The reversal of 228339216 is 612933822.

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.

Its product of digits (31104) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (228339217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3408015 + ... + 3408081.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^228339216 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 228339216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404736000).

228339216 is an abundant number, since it is smaller than the sum of its proper divisors (581132784).

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

228339216 is a wasteful number, since it uses less digits than its factorization.

228339216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 228339216 is about 15110.8972599247. The cubic root of 228339216 is about 611.2142935219.

The spelling of 228339216 in words is "two hundred twenty-eight million, three hundred thirty-nine thousand, two hundred sixteen".