217233968 has 40 divisors (see below), whose sum is σ = 485540352. Its totient is φ = 92225088.

The previous prime is 217233941. The next prime is 217233971. The reversal of 217233968 is 869332712.

217233968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921 + ... + 21047.

Almost surely, 2^217233968 is an apocalyptic number.

217233968 is a gapful number since it is divisible by the number (28) 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 217233968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242770176).

217233968 is an abundant number, since it is smaller than the sum of its proper divisors (268306384).

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

217233968 is a wasteful number, since it uses less digits than its factorization.

217233968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18249 (or 18243 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 217233968 is about 14738.8591145991. The cubic root of 217233968 is about 601.1403940919.

The spelling of 217233968 in words is "two hundred seventeen million, two hundred thirty-three thousand, nine hundred sixty-eight".