Search a number
-
+
2022330112 = 2811265287
BaseRepresentation
bin111100010001010…
…0100111100000000
312012221101000101021
41320202210330000
513120204030422
6532401315224
7101054344105
oct17042447400
95187330337
102022330112
11948609600
12485335b14
13262c9524a
1415282caac
15bc823dc7
hex788a4f00

2022330112 has 54 divisors (see below), whose sum is σ = 4437168344. Its totient is φ = 919226880.

The previous prime is 2022330097. The next prime is 2022330139. The reversal of 2022330112 is 2110332202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1668 + ... + 63619.

Almost surely, 22022330112 is an apocalyptic number.

2022330112 is a gapful number since it is divisible by the number (22) 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 2022330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218584172).

2022330112 is an abundant number, since it is smaller than the sum of its proper divisors (2414838232).

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

2022330112 is an equidigital number, since it uses as much as digits as its factorization.

2022330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65325 (or 65300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2022330112 is about 44970.3247931344. The cubic root of 2022330112 is about 1264.5927359410.

Adding to 2022330112 its reverse (2110332202), we get a palindrome (4132662314).

The spelling of 2022330112 in words is "two billion, twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 65287 130574 261148 522296 718157 1044592 1436314 2089184 2872628 4178368 5745256 7899727 8356736 11490512 15799454 16713472 22981024 31598908 45962048 63197816 91924096 126395632 183848192 252791264 505582528 1011165056 2022330112