213242424 has 64 divisors (see below), whose sum is σ = 568231200. Its totient is φ = 66453504.

The previous prime is 213242401. The next prime is 213242429. The reversal of 213242424 is 424242312.

213242424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213242394 and 213242403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62392 + ... + 65720.

Almost surely, 2^213242424 is an apocalyptic number.

213242424 is a gapful number since it is divisible by the number (24) 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 213242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284115600).

213242424 is an abundant number, since it is smaller than the sum of its proper divisors (354988776).

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

213242424 is a wasteful number, since it uses less digits than its factorization.

213242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 213242424 is about 14602.8224669069. The cubic root of 213242424 is about 597.4357454990.

Adding to 213242424 its reverse (424242312), we get a palindrome (637484736).

The spelling of 213242424 in words is "two hundred thirteen million, two hundred forty-two thousand, four hundred twenty-four".