211473000 has 96 divisors (see below), whose sum is σ = 714809160. Its totient is φ = 56390400.

The previous prime is 211472977. The next prime is 211473001. The reversal of 211473000 is 374112.

It can be written as a sum of positive squares in 4 ways, for example, as 93663684 + 117809316 = 9678^2 + 10854^2 .

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

It is not an unprimeable number, because it can be changed into a prime (211473001) 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 23 ways as a sum of consecutive naturals, for example, 2749 + ... + 20748.

Almost surely, 2^211473000 is an apocalyptic number.

211473000 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 211473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357404580).

211473000 is an abundant number, since it is smaller than the sum of its proper divisors (503336160).

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

211473000 is a wasteful number, since it uses less digits than its factorization.

211473000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 211473000 is about 14542.1112634995. Note that the first 3 decimals coincide. The cubic root of 211473000 is about 595.7787040834.

The spelling of 211473000 in words is "two hundred eleven million, four hundred seventy-three thousand".