228415616 has 64 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 95831040.

The previous prime is 228415573. The next prime is 228415619. The reversal of 228415616 is 616514822.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (228415619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12065 + ... + 24543.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^228415616 is an apocalyptic number.

228415616 is a gapful number since it is divisible by the number (26) 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 228415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

228415616 is an abundant number, since it is smaller than the sum of its proper divisors (306227584).

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

228415616 is a wasteful number, since it uses less digits than its factorization.

228415616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12505 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 228415616 is about 15113.4250254534. The cubic root of 228415616 is about 611.2824546343.

The spelling of 228415616 in words is "two hundred twenty-eight million, four hundred fifteen thousand, six hundred sixteen".