213144440 has 32 divisors (see below), whose sum is σ = 480077280. Its totient is φ = 85168512.

The previous prime is 213144433. The next prime is 213144443. The reversal of 213144440 is 44441312.

It is a happy number.

213144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213144443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46742 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (15002415).

Almost surely, 2^213144440 is an apocalyptic number.

213144440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213144440 is an abundant number, since it is smaller than the sum of its proper divisors (266932840).

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

213144440 is a wasteful number, since it uses less digits than its factorization.

213144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 213144440 is about 14599.4671135627. The cubic root of 213144440 is about 597.3442250729.

Adding to 213144440 its reverse (44441312), we get a palindrome (257585752).

It can be divided in two parts, 213144 and 440, that multiplied together give a triangular number (93783360 = T₁₃₆₉₅).

The spelling of 213144440 in words is "two hundred thirteen million, one hundred forty-four thousand, four hundred forty".