Search a number
-
+
2322236064 = 253411913089
BaseRepresentation
bin1000101001101010…
…1000001010100000
312222211200211000010
42022122220022200
514223443023224
61022233324520
7111355452351
oct21232501240
95884624003
102322236064
11a91929365
12549866740
132b015c2a5
141805b9d28
15d8d14e29
hex8a6a82a0

2322236064 has 96 divisors (see below), whose sum is σ = 6279275520. Its totient is φ = 751001600.

The previous prime is 2322236041. The next prime is 2322236093. The reversal of 2322236064 is 4606322232.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 750232 + ... + 753320.

It is an arithmetic number, because the mean of its divisors is an integer number (65409120).

Almost surely, 22322236064 is an apocalyptic number.

2322236064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139637760).

2322236064 is an abundant number, since it is smaller than the sum of its proper divisors (3957039456).

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

2322236064 is a wasteful number, since it uses less digits than its factorization.

2322236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2322236064 is about 48189.5846008243. The cubic root of 2322236064 is about 1324.2463617886.

Adding to 2322236064 its reverse (4606322232), we get a palindrome (6928558296).

The spelling of 2322236064 in words is "two billion, three hundred twenty-two million, two hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 191 246 328 382 492 573 656 764 984 1146 1312 1528 1968 2292 3056 3089 3936 4584 6112 6178 7831 9168 9267 12356 15662 18336 18534 23493 24712 31324 37068 46986 49424 62648 74136 93972 98848 125296 126649 148272 187944 250592 253298 296544 375888 379947 506596 589999 751776 759894 1013192 1179998 1519788 1769997 2026384 2359996 3039576 3539994 4052768 4719992 6079152 7079988 9439984 12158304 14159976 18879968 24189959 28319952 48379918 56639904 72569877 96759836 145139754 193519672 290279508 387039344 580559016 774078688 1161118032 2322236064