214036032 has 112 divisors (see below), whose sum is σ = 656612352. Its totient is φ = 60264960.

The previous prime is 214036003. The next prime is 214036033. The reversal of 214036032 is 230630412.

It is a happy number.

214036032 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 (112).

It is a super-2 number, since 2×214036032² = 91622845988610048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214036033) 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, 94303 + ... + 96545.

Almost surely, 2^214036032 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 214036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328306176).

214036032 is an abundant number, since it is smaller than the sum of its proper divisors (442576320).

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

214036032 is a wasteful number, since it uses less digits than its factorization.

214036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 214036032 is about 14629.9703348982. The cubic root of 214036032 is about 598.1759715976.

Adding to 214036032 its reverse (230630412), we get a palindrome (444666444).

The spelling of 214036032 in words is "two hundred fourteen million, thirty-six thousand, thirty-two".