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212130320 = 2452651629
BaseRepresentation
bin11001010010011…
…01101000010000
3112210011100002112
430221031220100
5413301132240
633014404452
75154035513
oct1451155020
9483140075
10212130320
11a9818716
125b060728
1334c436cc
142025cd7a
1513953665
hexca4da10

212130320 has 20 divisors (see below), whose sum is σ = 493203180. Its totient is φ = 84852096.

The previous prime is 212130313. The next prime is 212130337. The reversal of 212130320 is 23031212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61528336 + 150601984 = 7844^2 + 12272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 212130295 and 212130304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325735 + ... + 1325894.

It is an arithmetic number, because the mean of its divisors is an integer number (24660159).

Almost surely, 2212130320 is an apocalyptic number.

212130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212130320 is an abundant number, since it is smaller than the sum of its proper divisors (281072860).

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

212130320 is a wasteful number, since it uses less digits than its factorization.

212130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651642 (or 2651636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 212130320 is about 14564.6942981993. The cubic root of 212130320 is about 596.3953505005.

Adding to 212130320 its reverse (23031212), we get a palindrome (235161532).

The spelling of 212130320 in words is "two hundred twelve million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2651629 5303258 10606516 13258145 21213032 26516290 42426064 53032580 106065160 212130320