226944 has 48 divisors (see below), whose sum is σ = 656370. Its totient is φ = 75264.

The previous prime is 226943. The next prime is 226991. The reversal of 226944 is 449622.

226944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 97344 = 360^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226944.

It is not an unprimeable number, because it can be changed into a prime (226943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1054 + ... + 1250.

2²²⁶⁹⁴⁴ is an apocalyptic number.

226944 is a gapful number since it is divisible by the number (24) 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 226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328185).

226944 is an abundant number, since it is smaller than the sum of its proper divisors (429426).

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

226944 is a wasteful number, since it uses less digits than its factorization.

226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 226944 is about 476.3863977907. The cubic root of 226944 is about 60.9966852987.

Adding to 226944 its product of digits (3456), we get a square (230400 = 480²).

The spelling of 226944 in words is "two hundred twenty-six thousand, nine hundred forty-four".