211442016 has 96 divisors (see below), whose sum is σ = 585416160. Its totient is φ = 66719744.

The previous prime is 211442009. The next prime is 211442029. The reversal of 211442016 is 610244112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211442016² = 89415452260288512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211441983 and 211442001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146836 + ... + 148268.

It is an arithmetic number, because the mean of its divisors is an integer number (6098085).

Almost surely, 2^211442016 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 211442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292708080).

211442016 is an abundant number, since it is smaller than the sum of its proper divisors (373974144).

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

211442016 is a wasteful number, since it uses less digits than its factorization.

211442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211442016 is about 14541.0459046109. The cubic root of 211442016 is about 595.7496057920.

Adding to 211442016 its reverse (610244112), we get a palindrome (821686128).

The spelling of 211442016 in words is "two hundred eleven million, four hundred forty-two thousand, sixteen".