229582080 has 576 divisors, whose sum is σ = 1016440320. Its totient is φ = 47775744.

The previous prime is 229582079. The next prime is 229582097. The reversal of 229582080 is 80285922.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1460 × 108 × 1456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144924 + ... + 3144996.

Almost surely, 2^229582080 is an apocalyptic number.

229582080 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 229582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508220160).

229582080 is an abundant number, since it is smaller than the sum of its proper divisors (786858240).

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

229582080 is a wasteful number, since it uses less digits than its factorization.

229582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 229582080 is about 15151.9662090436. The cubic root of 229582080 is about 612.3212461849.

The spelling of 229582080 in words is "two hundred twenty-nine million, five hundred eighty-two thousand, eighty".