223227402160 has 320 divisors, whose sum is σ = 632873779200. Its totient is φ = 71526260736.

The previous prime is 223227402133. The next prime is 223227402173. The reversal of 223227402160 is 61204722322.

223227402160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223227402160³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314847886 + ... + 314848594.

It is an arithmetic number, because the mean of its divisors is an integer number (1977730560).

Almost surely, 2^223227402160 is an apocalyptic number.

223227402160 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 223227402160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316436889600).

223227402160 is an abundant number, since it is smaller than the sum of its proper divisors (409646377040).

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

223227402160 is a wasteful number, since it uses less digits than its factorization.

223227402160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 223227402160 in words is "two hundred twenty-three billion, two hundred twenty-seven million, four hundred two thousand, one hundred sixty".