213522432 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 68034560.

The previous prime is 213522377. The next prime is 213522443. The reversal of 213522432 is 234225312.

213522432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×213522432³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140557 + ... + 142067.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^213522432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

213522432 is an abundant number, since it is smaller than the sum of its proper divisors (380875008).

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

213522432 is a wasteful number, since it uses less digits than its factorization.

213522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1539 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 213522432 is about 14612.4067832784. The cubic root of 213522432 is about 597.6971281657.

Adding to 213522432 its product of digits (2880), we get a palindrome (213525312).

Adding to 213522432 its reverse (234225312), we get a palindrome (447747744).

The spelling of 213522432 in words is "two hundred thirteen million, five hundred twenty-two thousand, four hundred thirty-two".