229806720 has 640 divisors, whose sum is σ = 995258880. Its totient is φ = 49766400.

The previous prime is 229806713. The next prime is 229806721. The reversal of 229806720 is 27608922.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×229806720² = 105622257114316800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (229806721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7413105 + ... + 7413135.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^229806720 is an apocalyptic number.

229806720 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 229806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497629440).

229806720 is an abundant number, since it is smaller than the sum of its proper divisors (765452160).

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

229806720 is a wasteful number, since it uses less digits than its factorization.

229806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 229806720 is about 15159.3772959182. The cubic root of 229806720 is about 612.5208944698.

The spelling of 229806720 in words is "two hundred twenty-nine million, eight hundred six thousand, seven hundred twenty".