218981952 has 84 divisors (see below), whose sum is σ = 717352896. Its totient is φ = 62565120.

The previous prime is 218981921. The next prime is 218981993. The reversal of 218981952 is 259189812.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 218981898 and 218981907.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23124 + ... + 31187.

Almost surely, 2^218981952 is an apocalyptic number.

It is an amenable number.

218981952 is an abundant number, since it is smaller than the sum of its proper divisors (498370944).

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

218981952 is a wasteful number, since it uses less digits than its factorization.

218981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54336 (or 54323 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 218981952 is about 14798.0387889747. The cubic root of 218981952 is about 602.7484574124.

The spelling of 218981952 in words is "two hundred eighteen million, nine hundred eighty-one thousand, nine hundred fifty-two".