217981152 has 48 divisors (see below), whose sum is σ = 635780880. Its totient is φ = 72660096.

The previous prime is 217981117. The next prime is 217981177. The reversal of 217981152 is 251189712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125283 + ... + 127010.

It is an arithmetic number, because the mean of its divisors is an integer number (13245435).

Almost surely, 2^217981152 is an apocalyptic number.

It is an amenable number.

217981152 is an abundant number, since it is smaller than the sum of its proper divisors (417799728).

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

217981152 is a wasteful number, since it uses less digits than its factorization.

217981152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252312 (or 252298 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 217981152 is about 14764.1847726178. The cubic root of 217981152 is about 601.8288200319.

The spelling of 217981152 in words is "two hundred seventeen million, nine hundred eighty-one thousand, one hundred fifty-two".