226100 has 72 divisors (see below), whose sum is σ = 624960. Its totient is φ = 69120.

The previous prime is 226099. The next prime is 226103. The reversal of 226100 is 1622.

226100 = T₆₉ + T₇₀ + ... + T₁₁₈.

It is a super-2 number, since 2×226100² = 102242420000, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226100.

It is not an unprimeable number, because it can be changed into a prime (226103) 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, 11891 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2²²⁶¹⁰⁰ is an apocalyptic number.

226100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 475×476.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

226100 is an abundant number, since it is smaller than the sum of its proper divisors (398860).

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

226100 is a wasteful number, since it uses less digits than its factorization.

226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 226100 is about 475.4997371187. The cubic root of 226100 is about 60.9209762343.

Adding to 226100 its reverse (1622), we get a palindrome (227722).

The spelling of 226100 in words is "two hundred twenty-six thousand, one hundred".