211378832 has 80 divisors (see below), whose sum is σ = 504348672. Its totient is φ = 83825280.

The previous prime is 211378831. The next prime is 211378837. The reversal of 211378832 is 238873112.

It is a super-3 number, since 3×211378832³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211378792 and 211378801.

It is not an unprimeable number, because it can be changed into a prime (211378831) by changing a digit.

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, 78533 + ... + 81179.

Almost surely, 2^211378832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211378832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252174336).

211378832 is an abundant number, since it is smaller than the sum of its proper divisors (292969840).

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

211378832 is a wasteful number, since it uses less digits than its factorization.

211378832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 211378832 is about 14538.8731337748. The cubic root of 211378832 is about 595.6902584055.

The spelling of 211378832 in words is "two hundred eleven million, three hundred seventy-eight thousand, eight hundred thirty-two".