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211988 = 22767113
BaseRepresentation
bin110011110000010100
3101202210102
4303300110
523240423
64313232
71542020
oct636024
9352712
10211988
111352a7
12a2818
137564a
1457380
1542c28
hex33c14

211988 has 24 divisors (see below), whose sum is σ = 434112. Its totient is φ = 88704.

The previous prime is 211979. The next prime is 211997. The reversal of 211988 is 889112.

211988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211979) and next prime (211997).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 211988.

It is a congruent number.

It is an unprimeable number.

211988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1820 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (18088).

2211988 is an apocalyptic number.

211988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211988 is an abundant number, since it is smaller than the sum of its proper divisors (222124).

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

211988 is a wasteful number, since it uses less digits than its factorization.

211988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 1152, while the sum is 29.

The square root of 211988 is about 460.4215459772. The cubic root of 211988 is about 59.6261945124.

The spelling of 211988 in words is "two hundred eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 67 113 134 226 268 452 469 791 938 1582 1876 3164 7571 15142 30284 52997 105994 211988