223280 has 20 divisors (see below), whose sum is σ = 519312. Its totient is φ = 89280.

The previous prime is 223277. The next prime is 223283. The reversal of 223280 is 82322.

223280 = T₁₅₉ + T₁₆₀ + ... + T₁₇₄.

223280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223277) and next prime (223283).

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×223280³ = 33394175494656000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316 + ... + 1475.

2²²³²⁸⁰ is an apocalyptic number.

223280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223280 is an abundant number, since it is smaller than the sum of its proper divisors (296032).

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

223280 is a wasteful number, since it uses less digits than its factorization.

223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 223280 is about 472.5251316068. The cubic root of 223280 is about 60.6666398315. Note that the first 4 decimals are identical.

The spelling of 223280 in words is "two hundred twenty-three thousand, two hundred eighty".