229505952 has 96 divisors (see below), whose sum is σ = 653159808. Its totient is φ = 70142976.

The previous prime is 229505917. The next prime is 229505963. The reversal of 229505952 is 259505922.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 229505952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215373 + ... + 216435.

It is an arithmetic number, because the mean of its divisors is an integer number (6803748).

Almost surely, 2^229505952 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 229505952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326579904).

229505952 is an abundant number, since it is smaller than the sum of its proper divisors (423653856).

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

229505952 is a wasteful number, since it uses less digits than its factorization.

229505952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 229505952 is about 15149.4538515420. The cubic root of 229505952 is about 612.2535580547.

The spelling of 229505952 in words is "two hundred twenty-nine million, five hundred five thousand, nine hundred fifty-two".