226188 has 36 divisors (see below), whose sum is σ = 586768. Its totient is φ = 73440.

The previous prime is 226183. The next prime is 226189. The reversal of 226188 is 881622.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×226188² = 102322022688, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (226183) by changing a digit.

226188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2145 + ... + 2247.

2²²⁶¹⁸⁸ 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 226188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293384).

226188 is an abundant number, since it is smaller than the sum of its proper divisors (360580).

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

226188 is a wasteful number, since it uses less digits than its factorization.

226188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 226188 is about 475.5922623424. The cubic root of 226188 is about 60.9288788593.

It can be divided in two parts, 226 and 188, that added together give a palindrome (414).

The spelling of 226188 in words is "two hundred twenty-six thousand, one hundred eighty-eight".