229721856 has 288 divisors, whose sum is σ = 796669440. Its totient is φ = 57065472.

The previous prime is 229721851. The next prime is 229721857. The reversal of 229721856 is 658127922.

It is a super-2 number, since 2×229721856² = 105544262248169472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229721851) 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 31 ways as a sum of consecutive naturals, for example, 1327786 + ... + 1327958.

Almost surely, 2^229721856 is an apocalyptic number.

229721856 is a gapful number since it is divisible by the number (26) 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 229721856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398334720).

229721856 is an abundant number, since it is smaller than the sum of its proper divisors (566947584).

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

229721856 is a wasteful number, since it uses less digits than its factorization.

229721856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 229721856 is about 15156.5779778946. The cubic root of 229721856 is about 612.4454870824.

The spelling of 229721856 in words is "two hundred twenty-nine million, seven hundred twenty-one thousand, eight hundred fifty-six".