Search a number
-
+
212819005 = 57217371381
BaseRepresentation
bin11001010111101…
…01110000111101
3112211110022210101
430223311300331
5413440202010
633041241101
75162634400
oct1453656075
9484408711
10212819005
11aa149083
125b333191
1335125009
142039bd37
1513a3c73a
hexcaf5c3d

212819005 has 48 divisors (see below), whose sum is σ = 323288496. Its totient is φ = 133539840.

The previous prime is 212818979. The next prime is 212819011. The reversal of 212819005 is 500918212.

It can be written as a sum of positive squares in 8 ways, for example, as 16426809 + 196392196 = 4053^2 + 14014^2 .

It is not a de Polignac number, because 212819005 - 27 = 212818877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 153415 + ... + 154795.

It is an arithmetic number, because the mean of its divisors is an integer number (6735177).

Almost surely, 2212819005 is an apocalyptic number.

It is an amenable number.

212819005 is a deficient number, since it is larger than the sum of its proper divisors (110469491).

212819005 is a wasteful number, since it uses less digits than its factorization.

212819005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 212819005 is about 14588.3174149728. The cubic root of 212819005 is about 597.0400561586.

The spelling of 212819005 in words is "two hundred twelve million, eight hundred nineteen thousand, five".

Divisors: 1 5 7 17 35 37 49 85 119 185 245 259 595 629 833 1295 1381 1813 3145 4165 4403 6905 9065 9667 22015 23477 30821 48335 51097 67669 117385 154105 164339 255485 338345 357679 821695 868649 1150373 1788395 2503753 4343245 5751865 6080543 12518765 30402715 42563801 212819005