211952820 has 48 divisors (see below), whose sum is σ = 619274880. Its totient is φ = 54062976.

The previous prime is 211952791. The next prime is 211952861. The reversal of 211952820 is 28259112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75415 + ... + 78174.

It is an arithmetic number, because the mean of its divisors is an integer number (12901560).

Almost surely, 2^211952820 is an apocalyptic number.

211952820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211952820 is an abundant number, since it is smaller than the sum of its proper divisors (407322060).

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

211952820 is a wasteful number, since it uses less digits than its factorization.

211952820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153624 (or 153622 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 211952820 is about 14558.5995205583. The cubic root of 211952820 is about 596.2289595219.

The spelling of 211952820 in words is "two hundred eleven million, nine hundred fifty-two thousand, eight hundred twenty".