228914496 has 84 divisors (see below), whose sum is σ = 662136852. Its totient is φ = 75608064.

The previous prime is 228914479. The next prime is 228914531. The reversal of 228914496 is 694419822.

It can be written as a sum of positive squares in 2 ways, for example, as 106502400 + 122412096 = 10320^2 + 11064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63330 + ... + 66846.

Almost surely, 2^228914496 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 228914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331068426).

228914496 is an abundant number, since it is smaller than the sum of its proper divisors (433222356).

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

228914496 is a wasteful number, since it uses less digits than its factorization.

228914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3635 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 228914496 is about 15129.9205549798. The cubic root of 228914496 is about 611.7271627616.

The spelling of 228914496 in words is "two hundred twenty-eight million, nine hundred fourteen thousand, four hundred ninety-six".