229482792 has 288 divisors, whose sum is σ = 806682240. Its totient is φ = 57657600.

The previous prime is 229482767. The next prime is 229482853. The reversal of 229482792 is 297284922.

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 3232117 + ... + 3232187.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^229482792 is an apocalyptic number.

229482792 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 229482792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

229482792 is an abundant number, since it is smaller than the sum of its proper divisors (577199448).

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

229482792 is a wasteful number, since it uses less digits than its factorization.

229482792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 229482792 is about 15148.6894482658. The cubic root of 229482792 is about 612.2329627001.

The spelling of 229482792 in words is "two hundred twenty-nine million, four hundred eighty-two thousand, seven hundred ninety-two".