229568640 has 512 divisors, whose sum is σ = 940032000. Its totient is φ = 46448640.

The previous prime is 229568627. The next prime is 229568641. The reversal of 229568640 is 46865922.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 229568592 and 229568601.

It is not an unprimeable number, because it can be changed into a prime (229568641) 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 63 ways as a sum of consecutive naturals, for example, 7405425 + ... + 7405455.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^229568640 is an apocalyptic number.

229568640 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 229568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470016000).

229568640 is an abundant number, since it is smaller than the sum of its proper divisors (710463360).

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

229568640 is a wasteful number, since it uses less digits than its factorization.

229568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 229568640 is about 15151.5226957557. The cubic root of 229568640 is about 612.3092972876.

The spelling of 229568640 in words is "two hundred twenty-nine million, five hundred sixty-eight thousand, six hundred forty".