211424224 has 48 divisors (see below), whose sum is σ = 459889920. Its totient is φ = 94872960.

The previous prime is 211424219. The next prime is 211424263. The reversal of 211424224 is 422424112.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a junction number, because it is equal to n+sod(n) for n = 211424195 and 211424204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24007 + ... + 31609.

It is an arithmetic number, because the mean of its divisors is an integer number (9581040).

Almost surely, 2^211424224 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 211424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229944960).

211424224 is an abundant number, since it is smaller than the sum of its proper divisors (248465696).

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

211424224 is a wasteful number, since it uses less digits than its factorization.

211424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7695 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 211424224 is about 14540.4341063120. The cubic root of 211424224 is about 595.7328953410.

Adding to 211424224 its reverse (422424112), we get a palindrome (633848336).

The spelling of 211424224 in words is "two hundred eleven million, four hundred twenty-four thousand, two hundred twenty-four".