211422240 has 144 divisors (see below), whose sum is σ = 739281816. Its totient is φ = 54988800.

The previous prime is 211422223. The next prime is 211422257. The reversal of 211422240 is 42224112.

211422240 is a `hidden beast` number, since 2 + 1 + 1 + 422 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (211422223) and next prime (211422257).

It can be written as a sum of positive squares in 4 ways, for example, as 159062544 + 52359696 = 12612^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 57250 + ... + 60830.

Almost surely, 2^211422240 is an apocalyptic number.

211422240 is a gapful number since it is divisible by the number (20) 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 211422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369640908).

211422240 is an abundant number, since it is smaller than the sum of its proper divisors (527859576).

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

211422240 is a wasteful number, since it uses less digits than its factorization.

211422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 211422240 is about 14540.3658826042. The cubic root of 211422240 is about 595.7310318873.

Adding to 211422240 its reverse (42224112), we get a palindrome (253646352).

The spelling of 211422240 in words is "two hundred eleven million, four hundred twenty-two thousand, two hundred forty".