214020352 has 72 divisors (see below), whose sum is σ = 525847616. Its totient is φ = 84658176.

The previous prime is 214020349. The next prime is 214020439. The reversal of 214020352 is 253020412.

214020352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214020352² = 91609422140407808, which contains 22 as substring.

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, 18703 + ... + 27889.

Almost surely, 2^214020352 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 214020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262923808).

214020352 is an abundant number, since it is smaller than the sum of its proper divisors (311827264).

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

214020352 is an equidigital number, since it uses as much as digits as its factorization.

214020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 214020352 is about 14629.4344388291. The cubic root of 214020352 is about 598.1613640442.

Adding to 214020352 its reverse (253020412), we get a palindrome (467040764).

The spelling of 214020352 in words is "two hundred fourteen million, twenty thousand, three hundred fifty-two".