229098816 has 168 divisors, whose sum is σ = 686485800. Its totient is φ = 72990720.

The previous prime is 229098787. The next prime is 229098839. The reversal of 229098816 is 618890922.

229098816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 228614400 = 696^2 + 15120^2 .

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 23 ways as a sum of consecutive naturals, for example, 2101770 + ... + 2101878.

It is an arithmetic number, because the mean of its divisors is an integer number (4086225).

Almost surely, 2^229098816 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 229098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343242900).

229098816 is an abundant number, since it is smaller than the sum of its proper divisors (457386984).

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

229098816 is a wasteful number, since it uses less digits than its factorization.

229098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 229098816 is about 15136.0105708208. The cubic root of 229098816 is about 611.8913045459.

The spelling of 229098816 in words is "two hundred twenty-nine million, ninety-eight thousand, eight hundred sixteen".