226590 has 64 divisors (see below), whose sum is σ = 677376. Its totient is φ = 47232.

The previous prime is 226571. The next prime is 226601. The reversal of 226590 is 95622.

226590 = T₂₀ + T₂₁ + ... + T₁₁₀.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 226590.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²²⁶⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338688).

226590 is an abundant number, since it is smaller than the sum of its proper divisors (450786).

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

226590 is a wasteful number, since it uses less digits than its factorization.

226590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 226590 is about 476.0147056552. The cubic root of 226590 is about 60.9649534418.

The spelling of 226590 in words is "two hundred twenty-six thousand, five hundred ninety".