217930752 has 264 divisors, whose sum is σ = 724244976. Its totient is φ = 62521344.

The previous prime is 217930723. The next prime is 217930759. The reversal of 217930752 is 257039712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217930759) 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, 2036683 + ... + 2036789.

Almost surely, 2^217930752 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 217930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362122488).

217930752 is an abundant number, since it is smaller than the sum of its proper divisors (506314224).

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

217930752 is a wasteful number, since it uses less digits than its factorization.

217930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 217930752 is about 14762.4778407962. The cubic root of 217930752 is about 601.7824329777.

The spelling of 217930752 in words is "two hundred seventeen million, nine hundred thirty thousand, seven hundred fifty-two".