219989140900 has 243 divisors, whose sum is σ = 529949015337. Its totient is φ = 79247308800.

The previous prime is 219989140897. The next prime is 219989140901. The reversal of 219989140900 is 9041989912.

The square root of 219989140900 is 469030.

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

It can be written as a sum of positive squares in 13 ways, for example, as 148383662436 + 71605478464 = 385206^2 + 267592^2 .

It is a super-2 number, since 2×219989140900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219989140901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2471788056 + ... + 2471788144.

Almost surely, 2^219989140900 is an apocalyptic number.

219989140900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

219989140900 is the 469030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219989140900

219989140900 is an abundant number, since it is smaller than the sum of its proper divisors (309959874437).

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

219989140900 is a wasteful number, since it uses less digits than its factorization.

219989140900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 219989140900 in words is "two hundred nineteen billion, nine hundred eighty-nine million, one hundred forty thousand, nine hundred".