209531232 has 96 divisors (see below), whose sum is σ = 630927360. Its totient is φ = 67582080.

The previous prime is 209531227. The next prime is 209531249. The reversal of 209531232 is 232135902.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 209531196 and 209531205.

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 15 ways as a sum of consecutive naturals, for example, 22873 + ... + 30695.

It is an arithmetic number, because the mean of its divisors is an integer number (6572160).

Almost surely, 2^209531232 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 209531232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315463680).

209531232 is an abundant number, since it is smaller than the sum of its proper divisors (421396128).

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

209531232 is a wasteful number, since it uses less digits than its factorization.

209531232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 209531232 is about 14475.1936774608. The cubic root of 209531232 is about 593.9495927024.

It can be divided in two parts, 209 and 531232, that added together give a 12-th power (531441 = 3¹²).

The spelling of 209531232 in words is "two hundred nine million, five hundred thirty-one thousand, two hundred thirty-two".