211142424 has 64 divisors (see below), whose sum is σ = 553766400. Its totient is φ = 67008384.

The previous prime is 211142423. The next prime is 211142429. The reversal of 211142424 is 424241112.

It is a super-2 number, since 2×211142424² = 89162246425191552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211142424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39207 + ... + 44265.

It is an arithmetic number, because the mean of its divisors is an integer number (8652600).

Almost surely, 2^211142424 is an apocalyptic number.

211142424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276883200).

211142424 is an abundant number, since it is smaller than the sum of its proper divisors (342623976).

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

211142424 is a wasteful number, since it uses less digits than its factorization.

211142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5148 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 211142424 is about 14530.7406555894. The cubic root of 211142424 is about 595.4681004371.

Adding to 211142424 its reverse (424241112), we get a palindrome (635383536).

The spelling of 211142424 in words is "two hundred eleven million, one hundred forty-two thousand, four hundred twenty-four".