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2022131112 = 2332315723333
BaseRepresentation
bin111100010000111…
…0100010110101000
312012220222220101220
41320201310112220
513120131143422
6532353142040
7101052554661
oct17041642650
95186886356
102022131112
11948493041
1248525a920
13262c257b1
141527ba368
15bc7d4e5c
hex788745a8

2022131112 has 64 divisors (see below), whose sum is σ = 5308951680. Its totient is φ = 640603392.

The previous prime is 2022131077. The next prime is 2022131119. The reversal of 2022131112 is 2111312202.

It is a junction number, because it is equal to n+sod(n) for n = 2022131091 and 2022131100.

It is not an unprimeable number, because it can be changed into a prime (2022131119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74998 + ... + 98330.

It is an arithmetic number, because the mean of its divisors is an integer number (82952370).

Almost surely, 22022131112 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 2022131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654475840).

2022131112 is an abundant number, since it is smaller than the sum of its proper divisors (3286820568).

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

2022131112 is a wasteful number, since it uses less digits than its factorization.

2022131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23522 (or 23518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2022131112 is about 44968.1121685134. The cubic root of 2022131112 is about 1264.5512553723.

Adding to 2022131112 its reverse (2111312202), we get a palindrome (4133443314).

The spelling of 2022131112 in words is "two billion, twenty-two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 157 184 276 314 471 552 628 942 1256 1884 3611 3768 7222 10833 14444 21666 23333 28888 43332 46666 69999 86664 93332 139998 186664 279996 536659 559992 1073318 1609977 2146636 3219954 3663281 4293272 6439908 7326562 10989843 12879816 14653124 21979686 29306248 43959372 84255463 87918744 168510926 252766389 337021852 505532778 674043704 1011065556 2022131112