Search a number
-
+
212130024 = 23331285121
BaseRepresentation
bin11001010010011…
…01100011101000
3112210011022200120
430221031203220
5413301130044
633014403240
75154034611
oct1451154350
9483138616
10212130024
11a9818477
125b060520
1334c43532
142025cc08
1513953519
hexca4d8e8

212130024 has 32 divisors (see below), whose sum is σ = 547434240. Its totient is φ = 68428800.

The previous prime is 212130019. The next prime is 212130031. The reversal of 212130024 is 420031212.

212130024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212129985 and 212130012.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 141817 + ... + 143304.

It is an arithmetic number, because the mean of its divisors is an integer number (17107320).

Almost surely, 2212130024 is an apocalyptic number.

212130024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212130024 is an abundant number, since it is smaller than the sum of its proper divisors (335304216).

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

212130024 is a wasteful number, since it uses less digits than its factorization.

212130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285161 (or 285157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212130024 is about 14564.6841366368. The cubic root of 212130024 is about 596.3950731033.

Adding to 212130024 its reverse (420031212), we get a palindrome (632161236).

The spelling of 212130024 in words is "two hundred twelve million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 285121 570242 855363 1140484 1710726 2280968 3421452 6842904 8838751 17677502 26516253 35355004 53032506 70710008 106065012 212130024