217193040 has 60 divisors (see below), whose sum is σ = 729409044. Its totient is φ = 57917952.

The previous prime is 217193033. The next prime is 217193057. The reversal of 217193040 is 40391712.

It can be written as a sum of positive squares in 2 ways, for example, as 168584256 + 48608784 = 12984^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 217192995 and 217193013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150109 + ... + 151548.

Almost surely, 2^217193040 is an apocalyptic number.

217193040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217193040 is an abundant number, since it is smaller than the sum of its proper divisors (512216004).

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

217193040 is a wasteful number, since it uses less digits than its factorization.

217193040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301676 (or 301667 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 217193040 is about 14737.4706106577. The cubic root of 217193040 is about 601.1026390705.

The spelling of 217193040 in words is "two hundred seventeen million, one hundred ninety-three thousand, forty".