219681972 has 36 divisors (see below), whose sum is σ = 556331776. Its totient is φ = 73092240.

The previous prime is 219681967. The next prime is 219681991. The reversal of 219681972 is 279186912.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 15213 + ... + 25899.

Almost surely, 2^219681972 is an apocalyptic number.

It is an amenable number.

219681972 is an abundant number, since it is smaller than the sum of its proper divisors (336649804).

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

219681972 is a wasteful number, since it uses less digits than its factorization.

219681972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268 (or 11263 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 219681972 is about 14821.6723752753. The cubic root of 219681972 is about 603.3900432706.

The spelling of 219681972 in words is "two hundred nineteen million, six hundred eighty-one thousand, nine hundred seventy-two".