226720 has 48 divisors (see below), whose sum is σ = 582120. Its totient is φ = 82944.

The previous prime is 226697. The next prime is 226741. The reversal of 226720 is 27622.

226720 = 24² + 25² + ... + 88².

It is a happy number.

226720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 63504 = 404^2 + 252^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2026 + ... + 2134.

2²²⁶⁷²⁰ is an apocalyptic number.

226720 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 226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291060).

226720 is an abundant number, since it is smaller than the sum of its proper divisors (355400).

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

226720 is a wasteful number, since it uses less digits than its factorization.

226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 226720 is about 476.1512364785. The cubic root of 226720 is about 60.9766102210.

It can be divided in two parts, 226 and 720, that added together give a triangular number (946 = T₄₃).

The spelling of 226720 in words is "two hundred twenty-six thousand, seven hundred twenty".