229282920 has 128 divisors (see below), whose sum is σ = 780710400. Its totient is φ = 59827968.

The previous prime is 229282919. The next prime is 229282931. The reversal of 229282920 is 29282922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 48502 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (6099300).

Almost surely, 2^229282920 is an apocalyptic number.

229282920 is a gapful number since it is divisible by the number (20) 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 229282920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390355200).

229282920 is an abundant number, since it is smaller than the sum of its proper divisors (551427480).

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

229282920 is a wasteful number, since it uses less digits than its factorization.

229282920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4574 counting only the distinct ones).

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

The square root of 229282920 is about 15142.0910048778. The cubic root of 229282920 is about 612.0551661152.

The spelling of 229282920 in words is "two hundred twenty-nine million, two hundred eighty-two thousand, nine hundred twenty".