211542320 has 160 divisors (see below), whose sum is σ = 564874560. Its totient is φ = 72990720.

The previous prime is 211542319. The next prime is 211542377. The reversal of 211542320 is 23245112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211542292 and 211542301.

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 31 ways as a sum of consecutive naturals, for example, 2376836 + ... + 2376924.

It is an arithmetic number, because the mean of its divisors is an integer number (3530466).

Almost surely, 2^211542320 is an apocalyptic number.

211542320 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 211542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282437280).

211542320 is an abundant number, since it is smaller than the sum of its proper divisors (353332240).

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

211542320 is a wasteful number, since it uses less digits than its factorization.

211542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 211542320 is about 14544.4944910437. The cubic root of 211542320 is about 595.8437949272.

Adding to 211542320 its reverse (23245112), we get a palindrome (234787432).

The spelling of 211542320 in words is "two hundred eleven million, five hundred forty-two thousand, three hundred twenty".