217375048 has 96 divisors (see below), whose sum is σ = 482630400. Its totient is φ = 91428480.

The previous prime is 217375043. The next prime is 217375051. The reversal of 217375048 is 840573712.

It is a super-2 number, since 2×217375048² = 94503822986004608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217374998 and 217375016.

It is not an unprimeable number, because it can be changed into a prime (217375043) 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 23 ways as a sum of consecutive naturals, for example, 974665 + ... + 974887.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^217375048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217375048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

217375048 is an abundant number, since it is smaller than the sum of its proper divisors (265255352).

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

217375048 is a wasteful number, since it uses less digits than its factorization.

217375048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 217375048 is about 14743.6443256069. The cubic root of 217375048 is about 601.2705004082.

The spelling of 217375048 in words is "two hundred seventeen million, three hundred seventy-five thousand, forty-eight".