229607424 has 72 divisors (see below), whose sum is σ = 663201630. Its totient is φ = 76529664.

The previous prime is 229607407. The next prime is 229607431. The reversal of 229607424 is 424706922.

229607424 is a `hidden beast` number, since 2 + 2 + 9 + 607 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 66585600 = 12768^2 + 8160^2 .

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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12204 + ... + 24660.

Almost surely, 2^229607424 is an apocalyptic number.

229607424 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 229607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331600815).

229607424 is an abundant number, since it is smaller than the sum of its proper divisors (433594206).

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

229607424 is a wasteful number, since it uses less digits than its factorization.

229607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 229607424 is about 15152.8025130667. The cubic root of 229607424 is about 612.3437771227.

The spelling of 229607424 in words is "two hundred twenty-nine million, six hundred seven thousand, four hundred twenty-four".