219730312516 has 135 divisors (see below), whose sum is σ = 461112417255. Its totient is φ = 91575781440.

The previous prime is 219730312511. The next prime is 219730312523. The reversal of 219730312516 is 615213037912.

The square root of 219730312516 is 468754.

It is a perfect power (a square), and thus also a powerful number.

219730312516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118921522500 + 100808790016 = 344850^2 + 317504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219730312511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1474700010 + ... + 1474700158.

Almost surely, 2^219730312516 is an apocalyptic number.

219730312516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

219730312516 is the 468754-th square number.

It is an amenable number.

219730312516 is an abundant number, since it is smaller than the sum of its proper divisors (241382104739).

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

219730312516 is an equidigital number, since it uses as much as digits as its factorization.

219730312516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 219730312516 in words is "two hundred nineteen billion, seven hundred thirty million, three hundred twelve thousand, five hundred sixteen".