214013310 has 64 divisors (see below), whose sum is σ = 588874752. Its totient is φ = 48761856.

The previous prime is 214013309. The next prime is 214013333. The reversal of 214013310 is 13310412.

It is a super-2 number, since 2×214013310² = 91603393714312200, which contains 22 as substring.

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 214013310.

It is a congruent number.

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, 72687 + ... + 75573.

It is an arithmetic number, because the mean of its divisors is an integer number (9201168).

Almost surely, 2^214013310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294437376).

214013310 is an abundant number, since it is smaller than the sum of its proper divisors (374861442).

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

214013310 is a wasteful number, since it uses less digits than its factorization.

214013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 214013310 is about 14629.1937576888. The cubic root of 214013310 is about 598.1548034555.

Adding to 214013310 its reverse (13310412), we get a palindrome (227323722).

The spelling of 214013310 in words is "two hundred fourteen million, thirteen thousand, three hundred ten".