219081072 has 80 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 59870976.

The previous prime is 219081067. The next prime is 219081119. The reversal of 219081072 is 270180912.

219081072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×219081072² = 95993032217338368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6447 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^219081072 is an apocalyptic number.

It is an amenable number.

219081072 is an abundant number, since it is smaller than the sum of its proper divisors (455875728).

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

219081072 is a wasteful number, since it uses less digits than its factorization.

219081072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28390 (or 28384 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 219081072 is about 14801.3875025283. The cubic root of 219081072 is about 602.8393863902.

The spelling of 219081072 in words is "two hundred nineteen million, eighty-one thousand, seventy-two".