226772 has 36 divisors (see below), whose sum is σ = 502740. Its totient is φ = 88704.

The previous prime is 226769. The next prime is 226777. The reversal of 226772 is 277622.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 188356 = 196^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226777) 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 11 ways as a sum of consecutive naturals, for example, 2504 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2²²⁶⁷⁷² 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 226772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370).

226772 is an abundant number, since it is smaller than the sum of its proper divisors (275968).

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

226772 is a wasteful number, since it uses less digits than its factorization.

226772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its digits is 2352, while the sum is 26.

The square root of 226772 is about 476.2058378475. The cubic root of 226772 is about 60.9812716850.

It can be divided in two parts, 22677 and 2, that multiplied together give a palindrome (45354).

The spelling of 226772 in words is "two hundred twenty-six thousand, seven hundred seventy-two".