223260 has 36 divisors (see below), whose sum is σ = 635544. Its totient is φ = 58560.

The previous prime is 223259. The next prime is 223273. The reversal of 223260 is 62322.

It is a super-3 number, since 3×223260³ = 33385202585928000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223260.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3630 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (17654).

2²²³²⁶⁰ is an apocalyptic number.

223260 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 223260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317772).

223260 is an abundant number, since it is smaller than the sum of its proper divisors (412284).

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

223260 is a wasteful number, since it uses less digits than its factorization.

223260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223260 is about 472.5039682373. The cubic root of 223260 is about 60.6648284003.

Multiplying 223260 by its sum of digits (15), we get a square (3348900 = 1830²).

223260 divided by its sum of digits (15) gives a square (14884 = 122²).

Adding to 223260 its reverse (62322), we get a palindrome (285582).

The spelling of 223260 in words is "two hundred twenty-three thousand, two hundred sixty".