229042080 has 288 divisors, whose sum is σ = 835458624. Its totient is φ = 59222016.

The previous prime is 229042063. The next prime is 229042091. The reversal of 229042080 is 80240922.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671772 + ... + 1671908.

It is an arithmetic number, because the mean of its divisors is an integer number (2900898).

Almost surely, 2^229042080 is an apocalyptic number.

229042080 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 229042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417729312).

229042080 is an abundant number, since it is smaller than the sum of its proper divisors (606416544).

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

229042080 is a wasteful number, since it uses less digits than its factorization.

229042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 229042080 is about 15134.1362488911. The cubic root of 229042080 is about 611.8407890349.

The spelling of 229042080 in words is "two hundred twenty-nine million, forty-two thousand, eighty".