211430016 has 192 divisors, whose sum is σ = 703946880. Its totient is φ = 59664384.

The previous prime is 211429987. The next prime is 211430029. The reversal of 211430016 is 610034112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265965 + ... + 1266131.

It is an arithmetic number, because the mean of its divisors is an integer number (3666390).

Almost surely, 2^211430016 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 211430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351973440).

211430016 is an abundant number, since it is smaller than the sum of its proper divisors (492516864).

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

211430016 is a wasteful number, since it uses less digits than its factorization.

211430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 211430016 is about 14540.6332736920. The cubic root of 211430016 is about 595.7383353569.

Adding to 211430016 its reverse (610034112), we get a palindrome (821464128).

The spelling of 211430016 in words is "two hundred eleven million, four hundred thirty thousand, sixteen".