226144 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 109440.

The previous prime is 226141. The next prime is 226169. The reversal of 226144 is 441622.

226144 = 25² + 26² + ... + 88².

226144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226144² = 102282217472, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1089 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²²⁶¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

226144 is an abundant number, since it is smaller than the sum of its proper divisors (233504).

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

226144 is a wasteful number, since it uses less digits than its factorization.

226144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 226144 is about 475.5460019809. The cubic root of 226144 is about 60.9249278030.

Adding to 226144 its reverse (441622), we get a palindrome (667766).

The spelling of 226144 in words is "two hundred twenty-six thousand, one hundred forty-four".