219242912 has 48 divisors (see below), whose sum is σ = 509225472. Its totient is φ = 90927360.

The previous prime is 219242911. The next prime is 219242941.

219242912 = 464² + 465² + ... + 911².

219242912 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (219242911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8843 + ... + 22730.

It is an arithmetic number, because the mean of its divisors is an integer number (10608864).

Almost surely, 2^219242912 is an apocalyptic number.

It is an amenable number.

219242912 is an abundant number, since it is smaller than the sum of its proper divisors (289982560).

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

219242912 is a wasteful number, since it uses less digits than its factorization.

219242912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31621 (or 31613 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 219242912 is about 14806.8535482728. The cubic root of 219242912 is about 602.9877934177.

The spelling of 219242912 in words is "two hundred nineteen million, two hundred forty-two thousand, nine hundred twelve".