211489152 has 256 divisors, whose sum is σ = 699148800. Its totient is φ = 55296000.

The previous prime is 211489139. The next prime is 211489181. The reversal of 211489152 is 251984112.

It is a super-2 number, since 2×211489152² = 89455322827358208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093902 + ... + 2094002.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^211489152 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 211489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

211489152 is an abundant number, since it is smaller than the sum of its proper divisors (487659648).

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

211489152 is a wasteful number, since it uses less digits than its factorization.

211489152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 211489152 is about 14542.6666055438. Note that the first 4 decimals coincide. The cubic root of 211489152 is about 595.7938719341.

The spelling of 211489152 in words is "two hundred eleven million, four hundred eighty-nine thousand, one hundred fifty-two".