213432024 has 64 divisors (see below), whose sum is σ = 593187840. Its totient is φ = 63550080.

The previous prime is 213432001. The next prime is 213432031. The reversal of 213432024 is 420234312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (9268560).

Almost surely, 2^213432024 is an apocalyptic number.

213432024 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 213432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296593920).

213432024 is an abundant number, since it is smaller than the sum of its proper divisors (379755816).

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

213432024 is a wasteful number, since it uses less digits than its factorization.

213432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120 (or 22116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 213432024 is about 14609.3129201890. The cubic root of 213432024 is about 597.6127588408.

Adding to 213432024 its reverse (420234312), we get a palindrome (633666336).

The spelling of 213432024 in words is "two hundred thirteen million, four hundred thirty-two thousand, twenty-four".