213700032 has 336 divisors, whose sum is σ = 786985472. Its totient is φ = 55987200.

The previous prime is 213700027. The next prime is 213700033. The reversal of 213700032 is 230007312.

213700032 is digitally balanced in base 2, 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 213699978 and 213700014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213700033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415157 + ... + 1415307.

Almost surely, 2^213700032 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 213700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393492736).

213700032 is an abundant number, since it is smaller than the sum of its proper divisors (573285440).

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

213700032 is a wasteful number, since it uses less digits than its factorization.

213700032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 213700032 is about 14618.4825477886. The cubic root of 213700032 is about 597.8627963062.

Adding to 213700032 its reverse (230007312), we get a palindrome (443707344).

The spelling of 213700032 in words is "two hundred thirteen million, seven hundred thousand, thirty-two".