228753216 has 168 divisors, whose sum is σ = 707526144. Its totient is φ = 70456320.

The previous prime is 228753211. The next prime is 228753263. The reversal of 228753216 is 612357822.

228753216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228753211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410410 + ... + 410966.

Almost surely, 2^228753216 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 228753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353763072).

228753216 is an abundant number, since it is smaller than the sum of its proper divisors (478772928).

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

228753216 is a wasteful number, since it uses less digits than its factorization.

228753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228753216 is about 15124.5897795610. The cubic root of 228753216 is about 611.5834664070.

The spelling of 228753216 in words is "two hundred twenty-eight million, seven hundred fifty-three thousand, two hundred sixteen".