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212000319 = 32172715113
BaseRepresentation
bin11001010001011…
…01111000111111
3112202220201202200
430220231320333
5413233002234
633011522543
75152654506
oct1450557077
9482821680
10212000319
11a9739a83
125abb9453
1334bc949b
142022783d
1513929d99
hexca2de3f

212000319 has 24 divisors (see below), whose sum is σ = 325495872. Its totient is φ = 132503040.

The previous prime is 212000311. The next prime is 212000323. The reversal of 212000319 is 913000212.

It is a happy number.

It is not a de Polignac number, because 212000319 - 23 = 212000311 is a prime.

It is a super-2 number, since 2×2120003192 = 89888270512203522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38907 + ... + 44019.

It is an arithmetic number, because the mean of its divisors is an integer number (13562328).

Almost surely, 2212000319 is an apocalyptic number.

212000319 is a deficient number, since it is larger than the sum of its proper divisors (113495553).

212000319 is a wasteful number, since it uses less digits than its factorization.

212000319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 212000319 is about 14560.2307330619. The cubic root of 212000319 is about 596.2734948484.

The spelling of 212000319 in words is "two hundred twelve million, three hundred nineteen", and thus it is an aban number.

Divisors: 1 3 9 17 51 153 271 813 2439 4607 5113 13821 15339 41463 46017 86921 260763 782289 1385623 4156869 12470607 23555591 70666773 212000319