226200 has 96 divisors (see below), whose sum is σ = 781200. Its totient is φ = 53760.

The previous prime is 226199. The next prime is 226201. The reversal of 226200 is 2622.

It is an interprime number because it is at equal distance from previous prime (226199) and next prime (226201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) 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 (226201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7786 + ... + 7814.

2²²⁶²⁰⁰ is an apocalyptic number.

226200 is a gapful number since it is divisible by the number (20) 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 226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390600).

226200 is an abundant number, since it is smaller than the sum of its proper divisors (555000).

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

226200 is a wasteful number, since it uses less digits than its factorization.

226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 226200 is about 475.6048780238. The cubic root of 226200 is about 60.9299563311.

Adding to 226200 its reverse (2622), we get a palindrome (228822).

The spelling of 226200 in words is "two hundred twenty-six thousand, two hundred".