227360 has 72 divisors (see below), whose sum is σ = 646380. Its totient is φ = 75264.

The previous prime is 227303. The next prime is 227363. The reversal of 227360 is 63722.

227360 = T₁₅ + T₁₆ + ... + T₁₁₀.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 784 = 476^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (227363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7826 + ... + 7854.

2²²⁷³⁶⁰ is an apocalyptic number.

227360 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 227360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323190).

227360 is an abundant number, since it is smaller than the sum of its proper divisors (419020).

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

227360 is a wasteful number, since it uses less digits than its factorization.

227360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 227360 is about 476.8228182459. The cubic root of 227360 is about 61.0339325675.

The spelling of 227360 in words is "two hundred twenty-seven thousand, three hundred sixty".