213024040 has 32 divisors (see below), whose sum is σ = 482815080. Its totient is φ = 84585472.

The previous prime is 213024023. The next prime is 213024047. The reversal of 213024040 is 40420312.

213024040 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 212051844 + 972196 = 14562^2 + 986^2 .

It is not an unprimeable number, because it can be changed into a prime (213024047) 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, 13957 + ... + 24916.

Almost surely, 2^213024040 is an apocalyptic number.

213024040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213024040 is an abundant number, since it is smaller than the sum of its proper divisors (269791040).

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

213024040 is a wasteful number, since it uses less digits than its factorization.

213024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39021 (or 39017 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 213024040 is about 14595.3430929184. The cubic root of 213024040 is about 597.2317289162.

Adding to 213024040 its reverse (40420312), we get a palindrome (253444352).

The spelling of 213024040 in words is "two hundred thirteen million, twenty-four thousand, forty".