214113210 has 64 divisors (see below), whose sum is σ = 538970112. Its totient is φ = 54334016.

The previous prime is 214113203. The next prime is 214113239. The reversal of 214113210 is 12311412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214113210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155947 + ... + 157313.

It is an arithmetic number, because the mean of its divisors is an integer number (8421408).

Almost surely, 2^214113210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269485056).

214113210 is an abundant number, since it is smaller than the sum of its proper divisors (324856902).

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

214113210 is a wasteful number, since it uses less digits than its factorization.

214113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 214113210 is about 14632.6077648518. The cubic root of 214113210 is about 598.2478605484.

Adding to 214113210 its reverse (12311412), we get a palindrome (226424622).

It can be divided in two parts, 2141 and 13210, that added together give a palindrome (15351).

The spelling of 214113210 in words is "two hundred fourteen million, one hundred thirteen thousand, two hundred ten".