211205148 has 48 divisors (see below), whose sum is σ = 614417664. Its totient is φ = 54858240.

The previous prime is 211205129. The next prime is 211205153. The reversal of 211205148 is 841502112.

211205148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211205148² = 89215229083403808, 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 15 ways as a sum of consecutive naturals, for example, 113365 + ... + 115212.

It is an arithmetic number, because the mean of its divisors is an integer number (12800368).

Almost surely, 2^211205148 is an apocalyptic number.

211205148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211205148 is an abundant number, since it is smaller than the sum of its proper divisors (403212516).

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

211205148 is a wasteful number, since it uses less digits than its factorization.

211205148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228602 (or 228600 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 211205148 is about 14532.8988161344. The cubic root of 211205148 is about 595.5270597603.

The spelling of 211205148 in words is "two hundred eleven million, two hundred five thousand, one hundred forty-eight".