214034016 has 48 divisors (see below), whose sum is σ = 642104064. Its totient is φ = 61152384.

The previous prime is 214033997. The next prime is 214034017. The reversal of 214034016 is 610430412.

214034016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 214033983 and 214034001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214034017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158580 + ... + 159923.

It is an arithmetic number, because the mean of its divisors is an integer number (13377168).

Almost surely, 2^214034016 is an apocalyptic number.

It is an amenable number.

214034016 is an abundant number, since it is smaller than the sum of its proper divisors (428070048).

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

214034016 is a wasteful number, since it uses less digits than its factorization.

214034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318523 (or 318515 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 214034016 is about 14629.9014350747. The cubic root of 214034016 is about 598.1740935235.

Adding to 214034016 its reverse (610430412), we get a palindrome (824464428).

The spelling of 214034016 in words is "two hundred fourteen million, thirty-four thousand, sixteen".