38226 has 16 divisors (see below), whose sum is σ = 80064. Its totient is φ = 12144.

The previous prime is 38219. The next prime is 38231. The reversal of 38226 is 62283.

38226 is a nontrivial binomial coefficient, being equal to C(277, 2).

It is a super-2 number, since 2×38226² = 2922454152, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38226.

It is an unprimeable number.

38226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (5004).

2³⁸²²⁶ is an apocalyptic number.

38226 is the 276-th triangular number.

38226 is an abundant number, since it is smaller than the sum of its proper divisors (41838).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40032).

38226 is a wasteful number, since it uses less digits than its factorization.

38226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its digits is 576, while the sum is 21.

The square root of 38226 is about 195.5147053293. The cubic root of 38226 is about 33.6862720606.

It can be divided in two parts, 3822 and 6, that added together give a triangular number (3828 = T₈₇).

The spelling of 38226 in words is "thirty-eight thousand, two hundred twenty-six".