226080 has 72 divisors (see below), whose sum is σ = 776412. Its totient is φ = 59904.

The previous prime is 226063. The next prime is 226087. The reversal of 226080 is 80622.

226080 = T₅₀ + T₅₁ + ... + T₁₁₃.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 7056 = 468^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×226080² = 102224332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (226087) by changing a digit.

226080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 1518.

2²²⁶⁰⁸⁰ is an apocalyptic number.

226080 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 226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388206).

226080 is an abundant number, since it is smaller than the sum of its proper divisors (550332).

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

226080 is a wasteful number, since it uses less digits than its factorization.

226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 226080 is about 475.4787061478. The cubic root of 226080 is about 60.9191798972.

The spelling of 226080 in words is "two hundred twenty-six thousand, eighty".