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2022133122 = 232112340729
BaseRepresentation
bin111100010000111…
…0100110110000010
312012221000000011100
41320201310312002
513120131224442
6532353155230
7101052563562
oct17041646602
95187000140
102022133122
119484945a9
1248525bb16
13262c26699
141527bada2
15bc7d584c
hex78874d82

2022133122 has 12 divisors (see below), whose sum is σ = 4381288470. Its totient is φ = 674044368.

The previous prime is 2022133117. The next prime is 2022133147. The reversal of 2022133122 is 2213312202.

It can be written as a sum of positive squares in only one way, i.e., 2021491521 + 641601 = 44961^2 + 801^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 112340729 = 2022133122 / (2 + 0 + 2 + 2 + 1 + 3 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2022133095 and 2022133104.

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, 56170347 + ... + 56170382.

Almost surely, 22022133122 is an apocalyptic number.

2022133122 is an abundant number, since it is smaller than the sum of its proper divisors (2359155348).

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

2022133122 is a wasteful number, since it uses less digits than its factorization.

2022133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112340737 (or 112340734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2022133122 is about 44968.1345176782. The cubic root of 2022133122 is about 1264.5516743605.

Adding to 2022133122 its reverse (2213312202), we get a palindrome (4235445324).

The spelling of 2022133122 in words is "two billion, twenty-two million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 112340729 224681458 337022187 674044374 1011066561 2022133122