219822197904 has 135 divisors (see below), whose sum is σ = 623607346713. Its totient is φ = 72285725952.

The previous prime is 219822197887. The next prime is 219822197921. The reversal of 219822197904 is 409791228912.

It is a happy number.

The square root of 219822197904 is 468852.

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

It is an interprime number because it is at equal distance from previous prime (219822197887) and next prime (219822197921).

It can be written as a sum of positive squares in only one way, i.e., 42210524304 + 177611673600 = 205452^2 + 421440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500733717 + ... + 500734155.

Almost surely, 2^219822197904 is an apocalyptic number.

219822197904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

219822197904 is the 468852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219822197904

219822197904 is an abundant number, since it is smaller than the sum of its proper divisors (403785148809).

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

219822197904 is an frugal number, since it uses more digits than its factorization.

219822197904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 219822197904 in words is "two hundred nineteen billion, eight hundred twenty-two million, one hundred ninety-seven thousand, nine hundred four".