226128 has 40 divisors (see below), whose sum is σ = 668608. Its totient is φ = 64512.

The previous prime is 226123. The next prime is 226129. The reversal of 226128 is 821622.

226128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

226128 is a nontrivial binomial coefficient, being equal to C(673, 2).

It is a super-2 number, since 2×226128² = 102267744768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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 (226123) by changing a digit.

226128 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 672.

2²²⁶¹²⁸ is an apocalyptic number.

226128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

226128 is the 672-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334304).

226128 is an abundant number, since it is smaller than the sum of its proper divisors (442480).

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

226128 is a wasteful number, since it uses less digits than its factorization.

226128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 226128 is about 475.5291789154. The cubic root of 226128 is about 60.9234909283.

The spelling of 226128 in words is "two hundred twenty-six thousand, one hundred twenty-eight".