216933952 has 56 divisors (see below), whose sum is σ = 450616320. Its totient is φ = 103511040.

The previous prime is 216933943. The next prime is 216933971. The reversal of 216933952 is 259339612.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 122449 + ... + 124207.

It is an arithmetic number, because the mean of its divisors is an integer number (8046720).

Almost surely, 2^216933952 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 216933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

216933952 is an abundant number, since it is smaller than the sum of its proper divisors (233682368).

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

216933952 is a wasteful number, since it uses less digits than its factorization.

216933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its digits is 87480, while the sum is 40.

The square root of 216933952 is about 14728.6778768496. The cubic root of 216933952 is about 600.8635269761.

The spelling of 216933952 in words is "two hundred sixteen million, nine hundred thirty-three thousand, nine hundred fifty-two".