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212423985 = 3352921871
BaseRepresentation
bin11001010100101…
…01010100110001
3112210201020221000
430222111110301
5413340031420
633024552213
75156400624
oct1452252461
9483636830
10212423985
11a99a9314
125b182669
1335017287
14202d7dbb
15139b0690
hexca95531

212423985 has 48 divisors (see below), whose sum is σ = 391322880. Its totient is φ = 109327680.

The previous prime is 212423963. The next prime is 212423987. The reversal of 212423985 is 589324212.

It is a happy number.

212423985 is a `hidden beast` number, since 21 + 242 + 398 + 5 = 666.

It is not a de Polignac number, because 212423985 - 26 = 212423921 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212423987) 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 47 ways as a sum of consecutive naturals, for example, 112600 + ... + 114470.

It is an arithmetic number, because the mean of its divisors is an integer number (8152560).

Almost surely, 2212423985 is an apocalyptic number.

It is an amenable number.

212423985 is a deficient number, since it is larger than the sum of its proper divisors (178898895).

212423985 is a wasteful number, since it uses less digits than its factorization.

212423985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1908 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 212423985 is about 14574.7722109129. The cubic root of 212423985 is about 596.6704324776.

The spelling of 212423985 in words is "two hundred twelve million, four hundred twenty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 841 1305 1871 2523 3915 4205 5613 7569 9355 12615 16839 22707 28065 37845 50517 54259 84195 113535 162777 252585 271295 488331 813885 1464993 1573511 2441655 4720533 7324965 7867555 14161599 23602665 42484797 70807995 212423985