229946896 has 45 divisors (see below), whose sum is σ = 475402701. Its totient is φ = 107725056.

The previous prime is 229946891. The next prime is 229946909. The reversal of 229946896 is 698649922.

The square root of 229946896 is 15164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179024400 + 50922496 = 13380^2 + 7136^2 .

It is a super-3 number, since 3×229946896³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229946891) 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 8 ways as a sum of consecutive naturals, for example, 1031041 + ... + 1031263.

Almost surely, 2^229946896 is an apocalyptic number.

229946896 is the 15164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229946896

229946896 is an abundant number, since it is smaller than the sum of its proper divisors (245455805).

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

229946896 is an equidigital number, since it uses as much as digits as its factorization.

229946896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 242 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The cubic root of 229946896 is about 612.6454096525.

It can be divided in two parts, 22994 and 6896, that added together give a triangular number (29890 = T₂₄₄).

The spelling of 229946896 in words is "two hundred twenty-nine million, nine hundred forty-six thousand, eight hundred ninety-six".