211993944 has 256 divisors, whose sum is σ = 653184000. Its totient is φ = 56770560.

The previous prime is 211993933. The next prime is 211993949. The reversal of 211993944 is 449399112.

It is a junction number, because it is equal to n+sod(n) for n = 211993896 and 211993905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211993949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5170564 + ... + 5170604.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^211993944 is an apocalyptic number.

211993944 is a gapful number since it is divisible by the number (24) 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 211993944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

211993944 is an abundant number, since it is smaller than the sum of its proper divisors (441190056).

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

211993944 is a wasteful number, since it uses less digits than its factorization.

211993944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 211993944 is about 14560.0118131820. The cubic root of 211993944 is about 596.2675179994.

The spelling of 211993944 in words is "two hundred eleven million, nine hundred ninety-three thousand, nine hundred forty-four".