211024420 has 24 divisors (see below), whose sum is σ = 445000248. Its totient is φ = 84057600.

The previous prime is 211024403. The next prime is 211024427. The reversal of 211024420 is 24420112.

211024420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108326464 + 102697956 = 10408^2 + 10134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211024394 and 211024403.

It is not an unprimeable number, because it can be changed into a prime (211024427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17071 + ... + 26710.

It is an arithmetic number, because the mean of its divisors is an integer number (18541677).

Almost surely, 2^211024420 is an apocalyptic number.

211024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211024420 is an abundant number, since it is smaller than the sum of its proper divisors (233975828).

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

211024420 is a wasteful number, since it uses less digits than its factorization.

211024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44031 (or 44029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 211024420 is about 14526.6795930798. The cubic root of 211024420 is about 595.3571473485.

Adding to 211024420 its reverse (24420112), we get a palindrome (235444532).

The spelling of 211024420 in words is "two hundred eleven million, twenty-four thousand, four hundred twenty".