229638816 has 144 divisors (see below), whose sum is σ = 718230240. Its totient is φ = 69020160.

The previous prime is 229638781. The next prime is 229638821. The reversal of 229638816 is 618836922.

229638816 is a `hidden beast` number, since 2 + 2 + 9 + 638 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547855 + ... + 548273.

It is an arithmetic number, because the mean of its divisors is an integer number (4987710).

Almost surely, 2^229638816 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 229638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359115120).

229638816 is an abundant number, since it is smaller than the sum of its proper divisors (488591424).

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

229638816 is a wasteful number, since it uses less digits than its factorization.

229638816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 229638816 is about 15153.8383256520. The cubic root of 229638816 is about 612.3716824629.

The spelling of 229638816 in words is "two hundred twenty-nine million, six hundred thirty-eight thousand, eight hundred sixteen".