211293952 has 72 divisors (see below), whose sum is σ = 456515136. Its totient is φ = 97222656.

The previous prime is 211293931. The next prime is 211293967. The reversal of 211293952 is 259392112.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204028 + ... + 205060.

It is an arithmetic number, because the mean of its divisors is an integer number (6340488).

Almost surely, 2^211293952 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 211293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228257568).

211293952 is an abundant number, since it is smaller than the sum of its proper divisors (245221184).

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

211293952 is a wasteful number, since it uses less digits than its factorization.

211293952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The square root of 211293952 is about 14535.9537698770. The cubic root of 211293952 is about 595.6105138098.

The spelling of 211293952 in words is "two hundred eleven million, two hundred ninety-three thousand, nine hundred fifty-two".