211875240 has 32 divisors (see below), whose sum is σ = 635626080. Its totient is φ = 56500032.

The previous prime is 211875221. The next prime is 211875263. The reversal of 211875240 is 42578112.

It is a super-2 number, since 2×211875240² = 89782234650115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211875198 and 211875207.

It is an unprimeable number.

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, 882694 + ... + 882933.

It is an arithmetic number, because the mean of its divisors is an integer number (19863315).

Almost surely, 2^211875240 is an apocalyptic number.

211875240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211875240 is an abundant number, since it is smaller than the sum of its proper divisors (423750840).

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

211875240 is a wasteful number, since it uses less digits than its factorization.

211875240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765641 (or 1765637 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 211875240 is about 14555.9348720719. The cubic root of 211875240 is about 596.1562057720.

The spelling of 211875240 in words is "two hundred eleven million, eight hundred seventy-five thousand, two hundred forty".