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212095 = 5132251
BaseRepresentation
bin110011110001111111
3101202221101
4303301333
523241340
64313531
71542232
oct636177
9352841
10212095
11135394
12a28a7
1375700
1457419
1542c9a
hex33c7f

212095 has 12 divisors (see below), whose sum is σ = 276696. Its totient is φ = 156000.

The previous prime is 212081. The next prime is 212099. The reversal of 212095 is 590212.

It is not a de Polignac number, because 212095 - 29 = 211583 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (23058).

2212095 is an apocalyptic number.

212095 is a deficient number, since it is larger than the sum of its proper divisors (64601).

212095 is a wasteful number, since it uses less digits than its factorization.

212095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 212095 is about 460.5377291819. The cubic root of 212095 is about 59.6362248439.

It can be divided in two parts, 21 and 2095, that added together give a square (2116 = 462).

The spelling of 212095 in words is "two hundred twelve thousand, ninety-five".

Divisors: 1 5 13 65 169 251 845 1255 3263 16315 42419 212095