226780 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 78848.

The previous prime is 226777. The next prime is 226783. The reversal of 226780 is 87622.

226780 = T₁₉ + T₂₀ + ... + T₁₁₀.

226780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226777) and next prime (226783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7806 + ... + 7834.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²²⁶⁷⁸⁰ is an apocalyptic number.

226780 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 226780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

226780 is an abundant number, since it is smaller than the sum of its proper divisors (317540).

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

226780 is a wasteful number, since it uses less digits than its factorization.

226780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 226780 is about 476.2142375024. The cubic root of 226780 is about 60.9819887700.

The spelling of 226780 in words is "two hundred twenty-six thousand, seven hundred eighty".