211331148 has 96 divisors (see below), whose sum is σ = 628185600. Its totient is φ = 53830656.

The previous prime is 211331143. The next prime is 211331173. The reversal of 211331148 is 841133112.

Added to its reverse (841133112) it gives a triangular number (1052464260 = T₄₅₈₇₉).

It is a super-2 number, since 2×211331148² = 89321708229995808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211331143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23238 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (6543600).

Almost surely, 2^211331148 is an apocalyptic number.

211331148 is a gapful number since it is divisible by the number (28) 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 211331148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314092800).

211331148 is an abundant number, since it is smaller than the sum of its proper divisors (416854452).

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

211331148 is a wasteful number, since it uses less digits than its factorization.

211331148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7837 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 211331148 is about 14537.2331617815. The cubic root of 211331148 is about 595.6454620081.

Adding to 211331148 its reverse (841133112), we get a triangular number (1052464260 = T₄₅₈₇₉).

The spelling of 211331148 in words is "two hundred eleven million, three hundred thirty-one thousand, one hundred forty-eight".