229584264 has 128 divisors (see below), whose sum is σ = 729415680. Its totient is φ = 58579200.

The previous prime is 229584263. The next prime is 229584293. The reversal of 229584264 is 462485922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (229584263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66009 + ... + 69399.

It is an arithmetic number, because the mean of its divisors is an integer number (5698560).

Almost surely, 2^229584264 is an apocalyptic number.

229584264 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 229584264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364707840).

229584264 is an abundant number, since it is smaller than the sum of its proper divisors (499831416).

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

229584264 is a wasteful number, since it uses less digits than its factorization.

229584264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3447 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 229584264 is about 15152.0382787267. The cubic root of 229584264 is about 612.3231878367.

The spelling of 229584264 in words is "two hundred twenty-nine million, five hundred eighty-four thousand, two hundred sixty-four".