213443302240 has 192 divisors, whose sum is σ = 589961232000. Its totient is φ = 72943761408.

The previous prime is 213443302231. The next prime is 213443302277. The reversal of 213443302240 is 42203344312.

It is a super-2 number, since 2×213443302240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 213443302199 and 213443302208.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17390826 + ... + 17403094.

It is an arithmetic number, because the mean of its divisors is an integer number (3072714750).

Almost surely, 2^213443302240 is an apocalyptic number.

213443302240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213443302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294980616000).

213443302240 is an abundant number, since it is smaller than the sum of its proper divisors (376517929760).

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

213443302240 is a wasteful number, since it uses less digits than its factorization.

213443302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 213443302240 its reverse (42203344312), we get a palindrome (255646646552).

The spelling of 213443302240 in words is "two hundred thirteen billion, four hundred forty-three million, three hundred two thousand, two hundred forty".