213114220 has 48 divisors (see below), whose sum is σ = 490646016. Its totient is φ = 77112000.

The previous prime is 213114217. The next prime is 213114221. The reversal of 213114220 is 22411312.

It is a junction number, because it is equal to n+sod(n) for n = 213114194 and 213114203.

It is not an unprimeable number, because it can be changed into a prime (213114221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44125 + ... + 48715.

It is an arithmetic number, because the mean of its divisors is an integer number (10221792).

Almost surely, 2^213114220 is an apocalyptic number.

213114220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245323008).

213114220 is an abundant number, since it is smaller than the sum of its proper divisors (277531796).

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

213114220 is a wasteful number, since it uses less digits than its factorization.

213114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213114220 is about 14598.4321075929. The cubic root of 213114220 is about 597.3159928943.

Adding to 213114220 its reverse (22411312), we get a palindrome (235525532).

The spelling of 213114220 in words is "two hundred thirteen million, one hundred fourteen thousand, two hundred twenty".