228192796160 has 320 divisors, whose sum is σ = 665850240000. Its totient is φ = 74829275136.

The previous prime is 228192796147. The next prime is 228192796177. The reversal of 228192796160 is 61697291822.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×228192796160³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20190191 + ... + 20201489.

It is an arithmetic number, because the mean of its divisors is an integer number (2080782000).

Almost surely, 2^228192796160 is an apocalyptic number.

228192796160 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 228192796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332925120000).

228192796160 is an abundant number, since it is smaller than the sum of its proper divisors (437657443840).

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

228192796160 is an equidigital number, since it uses as much as digits as its factorization.

228192796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11366 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 228192796160 in words is "two hundred twenty-eight billion, one hundred ninety-two million, seven hundred ninety-six thousand, one hundred sixty".