223161120 has 432 divisors, whose sum is σ = 949620672. Its totient is φ = 46725120.

The previous prime is 223161083. The next prime is 223161143. The reversal of 223161120 is 21161322.

223161120 is a `hidden beast` number, since 2 + 2 + 31 + 611 + 20 = 666.

It is a super-3 number, since 3×223161120³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223161093 and 223161102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703455 + ... + 1703585.

It is an arithmetic number, because the mean of its divisors is an integer number (2198196).

Almost surely, 2^223161120 is an apocalyptic number.

223161120 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 223161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474810336).

223161120 is an abundant number, since it is smaller than the sum of its proper divisors (726459552).

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

223161120 is a wasteful number, since it uses less digits than its factorization.

223161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 223161120 is about 14938.5782456029. The cubic root of 223161120 is about 606.5587109493.

It can be divided in two parts, 22316 and 1120, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 223161120 in words is "two hundred twenty-three million, one hundred sixty-one thousand, one hundred twenty".