229082880 has 216 divisors, whose sum is σ = 794486448. Its totient is φ = 56229888.

The previous prime is 229082851. The next prime is 229082897. The reversal of 229082880 is 88280922.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648784 + ... + 649136.

It is an arithmetic number, because the mean of its divisors is an integer number (3678178).

Almost surely, 2^229082880 is an apocalyptic number.

229082880 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 229082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397243224).

229082880 is an abundant number, since it is smaller than the sum of its proper divisors (565403568).

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

229082880 is a wasteful number, since it uses less digits than its factorization.

229082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 229082880 is about 15135.4841349724. The cubic root of 229082880 is about 611.8771165984.

The spelling of 229082880 in words is "two hundred twenty-nine million, eighty-two thousand, eight hundred eighty".