Search a number
-
+
2122332312 = 233385122963
BaseRepresentation
bin111111010000000…
…0011100010011000
312110220112122121110
41332200003202120
513321304113222
6550332540320
7103410345522
oct17640034230
95426478543
102122332312
1199a001751
124b29216a0
1327a909a49
14161c20a12
15c64c930c
hex7e803898

2122332312 has 32 divisors (see below), whose sum is σ = 5307439680. Its totient is φ = 707229600.

The previous prime is 2122332307. The next prime is 2122332347. The reversal of 2122332312 is 2132332212.

It is a happy number.

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

It is a congruent number.

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, 80943 + ... + 103905.

It is an arithmetic number, because the mean of its divisors is an integer number (165857490).

Almost surely, 22122332312 is an apocalyptic number.

It is an amenable number.

2122332312 is an abundant number, since it is smaller than the sum of its proper divisors (3185107368).

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

2122332312 is a wasteful number, since it uses less digits than its factorization.

2122332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26823 (or 26819 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2122332312 is about 46068.7780606345. The cubic root of 2122332312 is about 1285.1025796877.

Adding to 2122332312 its reverse (2132332212), we get a palindrome (4254664524).

It can be divided in two parts, 21223 and 32312, that added together give a palindrome (53535).

The spelling of 2122332312 in words is "two billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 3851 7702 11553 15404 22963 23106 30808 45926 46212 68889 91852 92424 137778 183704 275556 551112 88430513 176861026 265291539 353722052 530583078 707444104 1061166156 2122332312