229213824 has 128 divisors (see below), whose sum is σ = 700617600. Its totient is φ = 65040384.

The previous prime is 229213823. The next prime is 229213841. The reversal of 229213824 is 428312922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×229213824² = 105077954225405952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229213823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 722914 + ... + 723230.

It is an arithmetic number, because the mean of its divisors is an integer number (5473575).

Almost surely, 2^229213824 is an apocalyptic number.

229213824 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 229213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350308800).

229213824 is an abundant number, since it is smaller than the sum of its proper divisors (471403776).

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

229213824 is a wasteful number, since it uses less digits than its factorization.

229213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 229213824 is about 15139.8092458261. The cubic root of 229213824 is about 611.9936775800.

The spelling of 229213824 in words is "two hundred twenty-nine million, two hundred thirteen thousand, eight hundred twenty-four".