213244032 has 64 divisors (see below), whose sum is σ = 570384000. Its totient is φ = 70585344.

The previous prime is 213244013. The next prime is 213244033. The reversal of 213244032 is 230442312.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (213244033) 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, 55353 + ... + 59079.

It is an arithmetic number, because the mean of its divisors is an integer number (8912250).

Almost surely, 2^213244032 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 213244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285192000).

213244032 is an abundant number, since it is smaller than the sum of its proper divisors (357139968).

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

213244032 is a wasteful number, since it uses less digits than its factorization.

213244032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3881 counting only the distinct ones).

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

The square root of 213244032 is about 14602.8775246525. The cubic root of 213244032 is about 597.4372471925.

Adding to 213244032 its reverse (230442312), we get a palindrome (443686344).

It can be divided in two parts, 2132 and 44032, that added together give a palindrome (46164).

The spelling of 213244032 in words is "two hundred thirteen million, two hundred forty-four thousand, thirty-two".