229220928 has 196 divisors, whose sum is σ = 724593420. Its totient is φ = 71912448.

The previous prime is 229220891. The next prime is 229220941. The reversal of 229220928 is 829022922.

The cubic root of 229220928 is 612.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 103063104 = 11232^2 + 10152^2 .

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 = 229220892 and 229220901.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 13483576 + ... + 13483592.

Almost surely, 2^229220928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362296710).

229220928 is an abundant number, since it is smaller than the sum of its proper divisors (495372492).

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

229220928 is an frugal number, since it uses more digits than its factorization.

229220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229220928 is about 15140.0438572680.

It can be divided in two parts, 2292 and 20928, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 229220928 in words is "two hundred twenty-nine million, two hundred twenty thousand, nine hundred twenty-eight".