Search a number
-
+
2122313032 = 237291379539
BaseRepresentation
bin111111001111111…
…1110110101001000
312110220111200011101
41332133332311020
513321303004112
6550332311144
7103410235360
oct17637766510
95426450141
102122313032
11999a99214
124b29124b4
1327a901038
14161c179a0
15c64c3757
hex7e7fed48

2122313032 has 64 divisors (see below), whose sum is σ = 4739472000. Its totient is φ = 871696896.

The previous prime is 2122313023. The next prime is 2122313051. The reversal of 2122313032 is 2303132212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217719 + ... + 227257.

It is an arithmetic number, because the mean of its divisors is an integer number (74054250).

Almost surely, 22122313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369736000).

2122313032 is an abundant number, since it is smaller than the sum of its proper divisors (2617158968).

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

2122313032 is a wasteful number, since it uses less digits than its factorization.

2122313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2122313032 is about 46068.5688078108. The cubic root of 2122313032 is about 1285.0986882373.

Adding to 2122313032 its reverse (2303132212), we get a palindrome (4425445244).

The spelling of 2122313032 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 137 203 232 274 406 548 812 959 1096 1624 1918 3836 3973 7672 7946 9539 15892 19078 27811 31784 38156 55622 66773 76312 111244 133546 222488 267092 276631 534184 553262 1106524 1306843 1936417 2213048 2613686 3872834 5227372 7745668 9147901 10454744 15491336 18295802 36591604 37898447 73183208 75796894 151593788 265289129 303187576 530578258 1061156516 2122313032