229501824 has 128 divisors (see below), whose sum is σ = 648842400. Its totient is φ = 71737344.

The previous prime is 229501823. The next prime is 229501849. The reversal of 229501824 is 428105922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229501823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411754 + ... + 412310.

Almost surely, 2^229501824 is an apocalyptic number.

229501824 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 229501824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324421200).

229501824 is an abundant number, since it is smaller than the sum of its proper divisors (419340576).

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

229501824 is a wasteful number, since it uses less digits than its factorization.

229501824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 229501824 is about 15149.3176083941. The cubic root of 229501824 is about 612.2498872744.

The spelling of 229501824 in words is "two hundred twenty-nine million, five hundred one thousand, eight hundred twenty-four".