223180 has 12 divisors (see below), whose sum is σ = 468720. Its totient is φ = 89264.

The previous prime is 223151. The next prime is 223207. The reversal of 223180 is 81322.

It is a happy number.

It is a super-3 number, since 3×223180³ = 33349327024296000, which contains 333 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5560 + ... + 5599.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2²²³¹⁸⁰ is an apocalyptic number.

223180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223180 is an abundant number, since it is smaller than the sum of its proper divisors (245540).

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

223180 is a wasteful number, since it uses less digits than its factorization.

223180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 223180 is about 472.4193052787. The cubic root of 223180 is about 60.6575815938.

It can be divided in two parts, 2 and 23180, that multiplied together give a triangular number (46360 = T₃₀₄).

The spelling of 223180 in words is "two hundred twenty-three thousand, one hundred eighty".