229924512 has 72 divisors (see below), whose sum is σ = 671550516. Its totient is φ = 74566656.

The previous prime is 229924511. The next prime is 229924543. The reversal of 229924512 is 215429922.

229924512 is digitally balanced in base 2, 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 2 ways, for example, as 191434896 + 38489616 = 13836^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (229924511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 21444.

Almost surely, 2^229924512 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 229924512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335775258).

229924512 is an abundant number, since it is smaller than the sum of its proper divisors (441626004).

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

229924512 is a wasteful number, since it uses less digits than its factorization.

229924512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21630 (or 21619 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 229924512 is about 15163.2619182022. The cubic root of 229924512 is about 612.6255298454.

The spelling of 229924512 in words is "two hundred twenty-nine million, nine hundred twenty-four thousand, five hundred twelve".