229968240 has 80 divisors (see below), whose sum is σ = 714516768. Its totient is φ = 61186048.

The previous prime is 229968223. The next prime is 229968241. The reversal of 229968240 is 42869922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 229968192 and 229968201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229968241) 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 15 ways as a sum of consecutive naturals, for example, 147304 + ... + 148856.

Almost surely, 2^229968240 is an apocalyptic number.

229968240 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 229968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357258384).

229968240 is an abundant number, since it is smaller than the sum of its proper divisors (484548528).

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

229968240 is a wasteful number, since it uses less digits than its factorization.

229968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 229968240 is about 15164.7037557613. The cubic root of 229968240 is about 612.6643646073.

The spelling of 229968240 in words is "two hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred forty".