229953152 has 128 divisors (see below), whose sum is σ = 570628800. Its totient is φ = 90685440.

The previous prime is 229953109. The next prime is 229953161. The reversal of 229953152 is 251359922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×229953152² = 105756904229470208, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 310799 + ... + 311537.

Almost surely, 2^229953152 is an apocalyptic number.

229953152 is a gapful number since it is divisible by the number (22) 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 229953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285314400).

229953152 is an abundant number, since it is smaller than the sum of its proper divisors (340675648).

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

229953152 is a wasteful number, since it uses less digits than its factorization.

229953152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 782 counting only the distinct ones).

The product of its digits is 48600, while the sum is 38.

The square root of 229953152 is about 15164.2062766239. The cubic root of 229953152 is about 612.6509655367.

The spelling of 229953152 in words is "two hundred twenty-nine million, nine hundred fifty-three thousand, one hundred fifty-two".