229224816 has 240 divisors, whose sum is σ = 731203200. Its totient is φ = 69237504.

The previous prime is 229224811. The next prime is 229224829. The reversal of 229224816 is 618422922.

229224816 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229224811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2142235 + ... + 2142341.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^229224816 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 229224816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

229224816 is an abundant number, since it is smaller than the sum of its proper divisors (501978384).

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

229224816 is a wasteful number, since it uses less digits than its factorization.

229224816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 229224816 is about 15140.1722579368. The cubic root of 229224816 is about 612.0034601880.

The spelling of 229224816 in words is "two hundred twenty-nine million, two hundred twenty-four thousand, eight hundred sixteen".