229582080000 has 1920 divisors, whose sum is σ = 1060265606400. Its totient is φ = 47775744000.

The previous prime is 229582079989. The next prime is 229582080043. The reversal of 229582080000 is 80285922.

It is a tau number, because it is divible by the number of its divisors (1920).

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: 14600 × 1080 × 14560.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3144959964 + ... + 3144960036.

It is an arithmetic number, because the mean of its divisors is an integer number (552221670).

Almost surely, 2^229582080000 is an apocalyptic number.

229582080000 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 229582080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530132803200).

229582080000 is an abundant number, since it is smaller than the sum of its proper divisors (830683526400).

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

229582080000 is an equidigital number, since it uses as much as digits as its factorization.

229582080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

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

The spelling of 229582080000 in words is "two hundred twenty-nine billion, five hundred eighty-two million, eighty thousand".