229364352 has 256 divisors, whose sum is σ = 816000000. Its totient is φ = 61959168.

The previous prime is 229364351. The next prime is 229364389. The reversal of 229364352 is 253463922.

It is a happy number.

229364352 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 643 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229364351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459399 + ... + 459897.

It is an arithmetic number, because the mean of its divisors is an integer number (3187500).

Almost surely, 2^229364352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408000000).

229364352 is an abundant number, since it is smaller than the sum of its proper divisors (586635648).

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

229364352 is a wasteful number, since it uses less digits than its factorization.

229364352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 530 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 229364352 is about 15144.7796946671. The cubic root of 229364352 is about 612.1276166012.

The spelling of 229364352 in words is "two hundred twenty-nine million, three hundred sixty-four thousand, three hundred fifty-two".