211332096 has 132 divisors (see below), whose sum is σ = 637386672. Its totient is φ = 67313664.

The previous prime is 211332089. The next prime is 211332103. The reversal of 211332096 is 690233112.

211332096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211332089) and next prime (211332103).

It is a super-2 number, since 2×211332096² = 89322509599506432, which contains 22 as substring.

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, 211470 + ... + 212466.

Almost surely, 2^211332096 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 211332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318693336).

211332096 is an abundant number, since it is smaller than the sum of its proper divisors (426054576).

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

211332096 is a wasteful number, since it uses less digits than its factorization.

211332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 211332096 is about 14537.2657676745. The cubic root of 211332096 is about 595.6463526656.

The spelling of 211332096 in words is "two hundred eleven million, three hundred thirty-two thousand, ninety-six".