226260 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 60192.

The previous prime is 226241. The next prime is 226267. The reversal of 226260 is 62622.

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

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 226260.

It is not an unprimeable number, because it can be changed into a prime (226267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 331 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²²⁶²⁶⁰ is an apocalyptic number.

226260 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 226260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

226260 is an abundant number, since it is smaller than the sum of its proper divisors (479340).

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

226260 is a wasteful number, since it uses less digits than its factorization.

226260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226260 is about 475.6679514115. The cubic root of 226260 is about 60.9353431189.

Adding to 226260 its reverse (62622), we get a palindrome (288882).

It can be divided in two parts, 2 and 26260, that added together give a palindrome (26262).

The spelling of 226260 in words is "two hundred twenty-six thousand, two hundred sixty".