211312240 has 40 divisors (see below), whose sum is σ = 491999760. Its totient is φ = 84404736.

The previous prime is 211312223. The next prime is 211312249. The reversal of 211312240 is 42213112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312249) 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 7 ways as a sum of consecutive naturals, for example, 73551 + ... + 76369.

It is an arithmetic number, because the mean of its divisors is an integer number (12299994).

Almost surely, 2^211312240 is an apocalyptic number.

211312240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312240 is an abundant number, since it is smaller than the sum of its proper divisors (280687520).

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

211312240 is a wasteful number, since it uses less digits than its factorization.

211312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211312240 is about 14536.5828171548. The cubic root of 211312240 is about 595.6276971551.

Adding to 211312240 its reverse (42213112), we get a palindrome (253525352).

The spelling of 211312240 in words is "two hundred eleven million, three hundred twelve thousand, two hundred forty".