229616640 has 352 divisors, whose sum is σ = 896094720. Its totient is φ = 55296000.

The previous prime is 229616623. The next prime is 229616663. The reversal of 229616640 is 46616922.

229616640 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 229616595 and 229616604.

It is an unprimeable number.

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, 1520565 + ... + 1520715.

Almost surely, 2^229616640 is an apocalyptic number.

229616640 is a gapful number since it is divisible by the number (20) 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 229616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448047360).

229616640 is an abundant number, since it is smaller than the sum of its proper divisors (666478080).

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

229616640 is a wasteful number, since it uses less digits than its factorization.

229616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 229616640 is about 15153.1066121769. The cubic root of 229616640 is about 612.3519697799.

The spelling of 229616640 in words is "two hundred twenty-nine million, six hundred sixteen thousand, six hundred forty".