214742016 has 132 divisors (see below), whose sum is σ = 643773312. Its totient is φ = 71497728.

The previous prime is 214741997. The next prime is 214742027. The reversal of 214742016 is 610247412.

It is a super-2 number, since 2×214742016² = 92228266871488512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248401 + ... + 249263.

Almost surely, 2^214742016 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 214742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321886656).

214742016 is an abundant number, since it is smaller than the sum of its proper divisors (429031296).

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

214742016 is an frugal number, since it uses more digits than its factorization.

214742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 214742016 is about 14654.0784766563. The cubic root of 214742016 is about 598.8329313900.

Adding to 214742016 its reverse (610247412), we get a palindrome (824989428).

The spelling of 214742016 in words is "two hundred fourteen million, seven hundred forty-two thousand, sixteen".