211001472 has 96 divisors (see below), whose sum is σ = 662416560. Its totient is φ = 63936000.

The previous prime is 211001459. The next prime is 211001489. The reversal of 211001472 is 274100112.

211001472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4347 + ... + 20997.

Almost surely, 2^211001472 is an apocalyptic number.

211001472 is a gapful number since it is divisible by the number (22) 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 211001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331208280).

211001472 is an abundant number, since it is smaller than the sum of its proper divisors (451415088).

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

211001472 is a wasteful number, since it uses less digits than its factorization.

211001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 211001472 is about 14525.8897145751. The cubic root of 211001472 is about 595.3355657213.

Adding to 211001472 its reverse (274100112), we get a palindrome (485101584).

The spelling of 211001472 in words is "two hundred eleven million, one thousand, four hundred seventy-two".