229252128 has 96 divisors (see below), whose sum is σ = 695044224. Its totient is φ = 64806912.

The previous prime is 229252069. The next prime is 229252139. The reversal of 229252128 is 821252922.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 63426 + ... + 66942.

It is an arithmetic number, because the mean of its divisors is an integer number (7240044).

Almost surely, 2^229252128 is an apocalyptic number.

229252128 is a gapful number since it is divisible by the number (28) 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 229252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347522112).

229252128 is an abundant number, since it is smaller than the sum of its proper divisors (465792096).

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

229252128 is a wasteful number, since it uses less digits than its factorization.

229252128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3626 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 229252128 is about 15141.0742023147. The cubic root of 229252128 is about 612.0277658384.

The spelling of 229252128 in words is "two hundred twenty-nine million, two hundred fifty-two thousand, one hundred twenty-eight".