211385152 has 56 divisors (see below), whose sum is σ = 459650592. Its totient is φ = 95654400.

The previous prime is 211385101. The next prime is 211385173. The reversal of 211385152 is 251583112.

It is a self number, because there is not a number n which added to its sum of digits gives 211385152.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 198702 + ... + 199762.

Almost surely, 2^211385152 is an apocalyptic number.

211385152 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 211385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229825296).

211385152 is an abundant number, since it is smaller than the sum of its proper divisors (248265440).

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

211385152 is a wasteful number, since it uses less digits than its factorization.

211385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The square root of 211385152 is about 14539.0904804943. The cubic root of 211385152 is about 595.6961951792.

The spelling of 211385152 in words is "two hundred eleven million, three hundred eighty-five thousand, one hundred fifty-two".