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2022022112 = 251144312967
BaseRepresentation
bin111100010000101…
…1001101111100000
312012220210100212212
41320201121233200
513120114201422
6532350541252
7101051622125
oct17041315740
95186710785
102022022112
11948419160
12485207828
13262bb7cb6
1415278c74c
15bc7b29e2
hex78859be0

2022022112 has 48 divisors (see below), whose sum is σ = 4352890752. Its totient is φ = 916955520.

The previous prime is 2022022043. The next prime is 2022022117. The reversal of 2022022112 is 2112202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022022117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149453 + ... + 162419.

It is an arithmetic number, because the mean of its divisors is an integer number (90685224).

Almost surely, 22022022112 is an apocalyptic number.

2022022112 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 2022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176445376).

2022022112 is an abundant number, since it is smaller than the sum of its proper divisors (2330868640).

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

2022022112 is a wasteful number, since it uses less digits than its factorization.

2022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13431 (or 13423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2022022112 is about 44966.9001822452. The cubic root of 2022022112 is about 1264.5285337063.

Adding to 2022022112 its reverse (2112202202), we get a palindrome (4134224314).

The spelling of 2022022112 in words is "two billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 443 886 1772 3544 4873 7088 9746 12967 14176 19492 25934 38984 51868 77968 103736 142637 155936 207472 285274 414944 570548 1141096 2282192 4564384 5744381 11488762 22977524 45955048 63188191 91910096 126376382 183820192 252752764 505505528 1011011056 2022022112