Search a number
-
+
212132316 = 223111607063
BaseRepresentation
bin11001010010011…
…10000111011100
3112210011102211110
430221032013130
5413301213231
633014422020
75154044364
oct1451160734
9483142743
10212132316
11a981a170
125b061910
1334c445a6
142025d9a4
1513954046
hexca4e1dc

212132316 has 24 divisors (see below), whose sum is σ = 539973504. Its totient is φ = 64282480.

The previous prime is 212132281. The next prime is 212132339. The reversal of 212132316 is 613231212.

212132316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212132292 and 212132301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 803400 + ... + 803663.

It is an arithmetic number, because the mean of its divisors is an integer number (22498896).

Almost surely, 2212132316 is an apocalyptic number.

It is an amenable number.

212132316 is an abundant number, since it is smaller than the sum of its proper divisors (327841188).

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

212132316 is a wasteful number, since it uses less digits than its factorization.

212132316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607081 (or 1607079 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 212132316 is about 14564.7628199020. The cubic root of 212132316 is about 596.3972210510.

Adding to 212132316 its reverse (613231212), we get a palindrome (825363528).

The spelling of 212132316 in words is "two hundred twelve million, one hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1607063 3214126 4821189 6428252 9642378 17677693 19284756 35355386 53033079 70710772 106066158 212132316