227216160 has 144 divisors (see below), whose sum is σ = 802259640. Its totient is φ = 58490880.

The previous prime is 227216153. The next prime is 227216161. The reversal of 227216160 is 61612722.

227216160 is a `hidden beast` number, since 2 + 27 + 21 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202891536 + 24324624 = 14244^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (227216161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39040 + ... + 44480.

Almost surely, 2^227216160 is an apocalyptic number.

227216160 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 227216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401129820).

227216160 is an abundant number, since it is smaller than the sum of its proper divisors (575043480).

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

227216160 is a wasteful number, since it uses less digits than its factorization.

227216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 227216160 is about 15073.6909879432. The cubic root of 227216160 is about 610.2105875083.

Adding to 227216160 its reverse (61612722), we get a palindrome (288828882).

The spelling of 227216160 in words is "two hundred twenty-seven million, two hundred sixteen thousand, one hundred sixty".