229675824 has 280 divisors, whose sum is σ = 796928160. Its totient is φ = 62705664.

The previous prime is 229675813. The next prime is 229675837. The reversal of 229675824 is 428576922.

229675824 is a `hidden beast` number, since 2 + 2 + 9 + 67 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 229675824.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2367744 + ... + 2367840.

It is an arithmetic number, because the mean of its divisors is an integer number (2846172).

Almost surely, 2^229675824 is an apocalyptic number.

229675824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229675824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398464080).

229675824 is an abundant number, since it is smaller than the sum of its proper divisors (567252336).

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

229675824 is an equidigital number, since it uses as much as digits as its factorization.

229675824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 229675824 is about 15155.0593532325. The cubic root of 229675824 is about 612.4045767769.

The spelling of 229675824 in words is "two hundred twenty-nine million, six hundred seventy-five thousand, eight hundred twenty-four".