217064232 has 256 divisors, whose sum is σ = 777830400. Its totient is φ = 54432000.

The previous prime is 217064219. The next prime is 217064233. The reversal of 217064232 is 232460712.

217064232 is a `hidden beast` number, since 2 + 17 + 0 + 642 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 217064196 and 217064205.

It is not an unprimeable number, because it can be changed into a prime (217064233) 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 63 ways as a sum of consecutive naturals, for example, 515382 + ... + 515802.

It is an arithmetic number, because the mean of its divisors is an integer number (3038400).

Almost surely, 2^217064232 is an apocalyptic number.

217064232 is a gapful number since it is divisible by the number (22) 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 217064232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388915200).

217064232 is an abundant number, since it is smaller than the sum of its proper divisors (560766168).

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

217064232 is a wasteful number, since it uses less digits than its factorization.

217064232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 217064232 is about 14733.0998774867. The cubic root of 217064232 is about 600.9837860600.

The spelling of 217064232 in words is "two hundred seventeen million, sixty-four thousand, two hundred thirty-two".