214202016 has 192 divisors, whose sum is σ = 722856960. Its totient is φ = 60445440.

The previous prime is 214202003. The next prime is 214202063. The reversal of 214202016 is 610202412.

214202016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 214202016.

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, 646971 + ... + 647301.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2^214202016 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 214202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361428480).

214202016 is an abundant number, since it is smaller than the sum of its proper divisors (508654944).

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

214202016 is a wasteful number, since it uses less digits than its factorization.

214202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214202016 is about 14635.6419743037. The cubic root of 214202016 is about 598.3305592541.

Adding to 214202016 its reverse (610202412), we get a palindrome (824404428).

It can be divided in two parts, 21420 and 2016, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 214202016 in words is "two hundred fourteen million, two hundred two thousand, sixteen".