217471120 has 20 divisors (see below), whose sum is σ = 505620540. Its totient is φ = 86988416.

The previous prime is 217471103. The next prime is 217471127. The reversal of 217471120 is 21174712.

217471120 is digitally balanced in base 3, 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 2 ways, for example, as 50751376 + 166719744 = 7124^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (217471127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1359115 + ... + 1359274.

It is an arithmetic number, because the mean of its divisors is an integer number (25281027).

Almost surely, 2^217471120 is an apocalyptic number.

217471120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217471120 is an abundant number, since it is smaller than the sum of its proper divisors (288149420).

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

217471120 is a wasteful number, since it uses less digits than its factorization.

217471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718402 (or 2718396 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 217471120 is about 14746.9020475488. The cubic root of 217471120 is about 601.3590673836.

The spelling of 217471120 in words is "two hundred seventeen million, four hundred seventy-one thousand, one hundred twenty".